{"id":113,"date":"2018-09-27T22:53:02","date_gmt":"2018-09-27T22:53:02","guid":{"rendered":"https:\/\/patrickcarpen.com\/mathematics\/?page_id=113"},"modified":"2018-09-27T22:53:02","modified_gmt":"2018-09-27T22:53:02","slug":"common-factors-of-numbers","status":"publish","type":"page","link":"https:\/\/patrickcarpen.com\/mathematics\/the-factors-of-a-number\/common-factors-of-numbers\/","title":{"rendered":"Common Factors of Numbers"},"content":{"rendered":"Last updated: September 27, 2018 at 22:53 pm\n<p><img decoding=\"async\" title=\"Photo by OpenClipart-Vectors\" src=\"https:\/\/patrickcarpen.com\/mathematics\/wp-content\/uploads\/sites\/60\/2018\/09\/e833b00c2ff31c3e81584d04ee44408be272e1dd19b919479cf2_640_numbers.png\" alt=\"numbers photo\" \/>The factors of a number are all the numbers that can divide the number without leaving a remainder. These include the number itself and the number 1.<\/p>\n<p>The lowest factor of a number is the number 1, and the highest factor of a number is the number itself.<\/p>\n<p>So what are common factors of a number?<\/p>\n<p>What if you are asked to find the common factors of the numbers 6 and 12?<\/p>\n<p>First, list all the factors of each number:<\/p>\n<p>Factors of 6: 1, 2, 3 and 6.<\/p>\n<p>Factors of 12: 1, 2, 3, 4, 6 and 12.<\/p>\n<p>The common factors of a given set of numbers are the factors which both share.<\/p>\n<p>For example, if we look at the factors of 6 and 12 above, we will see that both 6 and 12 share the factors: 1,2, 3 and 6.<\/p>\n<p>Therefore the common factors of the numbers 3 and 6 are 1,2,3 and 6.<\/p>\n<p>What do you think is the lowest common factor of the numbers 6 and 12?<\/p>\n<p>What is the highest common factor of the two given numbers?<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The factors of a number are all the numbers that can divide the number without leaving a remainder. These include the number itself and the number 1. The lowest factor <a class=\"more-link\" href=\"https:\/\/patrickcarpen.com\/mathematics\/the-factors-of-a-number\/common-factors-of-numbers\/\">Continue Reading &rarr;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":109,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"categories":[12,18],"tags":[],"class_list":["post-113","page","type-page","status-publish","hentry","category-division","category-numbers"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Common Factors of Numbers - Mathematics<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/patrickcarpen.com\/mathematics\/the-factors-of-a-number\/common-factors-of-numbers\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Common Factors of Numbers - Mathematics\" \/>\n<meta property=\"og:description\" content=\"The factors of a number are all the numbers that can divide the number without leaving a remainder. These include the number itself and the number 1. The lowest factor Continue Reading &rarr;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/patrickcarpen.com\/mathematics\/the-factors-of-a-number\/common-factors-of-numbers\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathematics\" \/>\n<meta property=\"og:image\" content=\"https:\/\/patrickcarpen.com\/mathematics\/wp-content\/uploads\/sites\/60\/2018\/09\/e833b00c2ff31c3e81584d04ee44408be272e1dd19b919479cf2_640_numbers.png\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/patrickcarpen.com\\\/mathematics\\\/the-factors-of-a-number\\\/common-factors-of-numbers\\\/\",\"url\":\"https:\\\/\\\/patrickcarpen.com\\\/mathematics\\\/the-factors-of-a-number\\\/common-factors-of-numbers\\\/\",\"name\":\"Common Factors of Numbers - Mathematics\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/patrickcarpen.com\\\/mathematics\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/patrickcarpen.com\\\/mathematics\\\/the-factors-of-a-number\\\/common-factors-of-numbers\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/patrickcarpen.com\\\/mathematics\\\/the-factors-of-a-number\\\/common-factors-of-numbers\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/patrickcarpen.com\\\/mathematics\\\/wp-content\\\/uploads\\\/sites\\\/60\\\/2018\\\/09\\\/e833b00c2ff31c3e81584d04ee44408be272e1dd19b919479cf2_640_numbers.png\",\"datePublished\":\"2018-09-27T22:53:02+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/patrickcarpen.com\\\/mathematics\\\/the-factors-of-a-number\\\/common-factors-of-numbers\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/patrickcarpen.com\\\/mathematics\\\/the-factors-of-a-number\\\/common-factors-of-numbers\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/patrickcarpen.com\\\/mathematics\\\/the-factors-of-a-number\\\/common-factors-of-numbers\\\/#primaryimage\",\"url\":\"https:\\\/\\\/patrickcarpen.com\\\/mathematics\\\/wp-content\\\/uploads\\\/sites\\\/60\\\/2018\\\/09\\\/e833b00c2ff31c3e81584d04ee44408be272e1dd19b919479cf2_640_numbers.png\",\"contentUrl\":\"https:\\\/\\\/patrickcarpen.com\\\/mathematics\\\/wp-content\\\/uploads\\\/sites\\\/60\\\/2018\\\/09\\\/e833b00c2ff31c3e81584d04ee44408be272e1dd19b919479cf2_640_numbers.png\",\"width\":640,\"height\":320},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/patrickcarpen.com\\\/mathematics\\\/the-factors-of-a-number\\\/common-factors-of-numbers\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/patrickcarpen.com\\\/mathematics\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"The Factors Of A Number\",\"item\":\"https:\\\/\\\/patrickcarpen.com\\\/mathematics\\\/the-factors-of-a-number\\\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Common Factors of Numbers\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/patrickcarpen.com\\\/mathematics\\\/#website\",\"url\":\"https:\\\/\\\/patrickcarpen.com\\\/mathematics\\\/\",\"name\":\"Mathematics\",\"description\":\"By Patrick Carpen: The Greatest Writer On Earth\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/patrickcarpen.com\\\/mathematics\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Common Factors of Numbers - Mathematics","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/patrickcarpen.com\/mathematics\/the-factors-of-a-number\/common-factors-of-numbers\/","og_locale":"en_US","og_type":"article","og_title":"Common Factors of Numbers - Mathematics","og_description":"The factors of a number are all the numbers that can divide the number without leaving a remainder. These include the number itself and the number 1. The lowest factor Continue Reading &rarr;","og_url":"https:\/\/patrickcarpen.com\/mathematics\/the-factors-of-a-number\/common-factors-of-numbers\/","og_site_name":"Mathematics","og_image":[{"url":"https:\/\/patrickcarpen.com\/mathematics\/wp-content\/uploads\/sites\/60\/2018\/09\/e833b00c2ff31c3e81584d04ee44408be272e1dd19b919479cf2_640_numbers.png","type":"","width":"","height":""}],"twitter_misc":{"Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/patrickcarpen.com\/mathematics\/the-factors-of-a-number\/common-factors-of-numbers\/","url":"https:\/\/patrickcarpen.com\/mathematics\/the-factors-of-a-number\/common-factors-of-numbers\/","name":"Common Factors of Numbers - Mathematics","isPartOf":{"@id":"https:\/\/patrickcarpen.com\/mathematics\/#website"},"primaryImageOfPage":{"@id":"https:\/\/patrickcarpen.com\/mathematics\/the-factors-of-a-number\/common-factors-of-numbers\/#primaryimage"},"image":{"@id":"https:\/\/patrickcarpen.com\/mathematics\/the-factors-of-a-number\/common-factors-of-numbers\/#primaryimage"},"thumbnailUrl":"https:\/\/patrickcarpen.com\/mathematics\/wp-content\/uploads\/sites\/60\/2018\/09\/e833b00c2ff31c3e81584d04ee44408be272e1dd19b919479cf2_640_numbers.png","datePublished":"2018-09-27T22:53:02+00:00","breadcrumb":{"@id":"https:\/\/patrickcarpen.com\/mathematics\/the-factors-of-a-number\/common-factors-of-numbers\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/patrickcarpen.com\/mathematics\/the-factors-of-a-number\/common-factors-of-numbers\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/patrickcarpen.com\/mathematics\/the-factors-of-a-number\/common-factors-of-numbers\/#primaryimage","url":"https:\/\/patrickcarpen.com\/mathematics\/wp-content\/uploads\/sites\/60\/2018\/09\/e833b00c2ff31c3e81584d04ee44408be272e1dd19b919479cf2_640_numbers.png","contentUrl":"https:\/\/patrickcarpen.com\/mathematics\/wp-content\/uploads\/sites\/60\/2018\/09\/e833b00c2ff31c3e81584d04ee44408be272e1dd19b919479cf2_640_numbers.png","width":640,"height":320},{"@type":"BreadcrumbList","@id":"https:\/\/patrickcarpen.com\/mathematics\/the-factors-of-a-number\/common-factors-of-numbers\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/patrickcarpen.com\/mathematics\/"},{"@type":"ListItem","position":2,"name":"The Factors Of A Number","item":"https:\/\/patrickcarpen.com\/mathematics\/the-factors-of-a-number\/"},{"@type":"ListItem","position":3,"name":"Common Factors of Numbers"}]},{"@type":"WebSite","@id":"https:\/\/patrickcarpen.com\/mathematics\/#website","url":"https:\/\/patrickcarpen.com\/mathematics\/","name":"Mathematics","description":"By Patrick Carpen: The Greatest Writer On Earth","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/patrickcarpen.com\/mathematics\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"jetpack_shortlink":"https:\/\/wp.me\/PekbO1-1P","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/patrickcarpen.com\/mathematics\/wp-json\/wp\/v2\/pages\/113","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/patrickcarpen.com\/mathematics\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/patrickcarpen.com\/mathematics\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/patrickcarpen.com\/mathematics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/patrickcarpen.com\/mathematics\/wp-json\/wp\/v2\/comments?post=113"}],"version-history":[{"count":1,"href":"https:\/\/patrickcarpen.com\/mathematics\/wp-json\/wp\/v2\/pages\/113\/revisions"}],"predecessor-version":[{"id":117,"href":"https:\/\/patrickcarpen.com\/mathematics\/wp-json\/wp\/v2\/pages\/113\/revisions\/117"}],"up":[{"embeddable":true,"href":"https:\/\/patrickcarpen.com\/mathematics\/wp-json\/wp\/v2\/pages\/109"}],"wp:attachment":[{"href":"https:\/\/patrickcarpen.com\/mathematics\/wp-json\/wp\/v2\/media?parent=113"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/patrickcarpen.com\/mathematics\/wp-json\/wp\/v2\/categories?post=113"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/patrickcarpen.com\/mathematics\/wp-json\/wp\/v2\/tags?post=113"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}