{"id":245384,"date":"2025-07-06T07:22:00","date_gmt":"2025-07-06T07:22:00","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=245384"},"modified":"2025-07-06T07:22:02","modified_gmt":"2025-07-06T07:22:02","slug":"find-the-greatest-common-factors-of-the-following-numbers","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/06\/find-the-greatest-common-factors-of-the-following-numbers\/","title":{"rendered":"Find the greatest common factors of the following numbers."},"content":{"rendered":"\n

Find the greatest common factors of the following numbers. 1. 28 32 4) 12 16 20 2. 12 30 48 5) 8 56 80 112 3. 20 32 40<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Let’s break down the greatest common factors (GCF) for each set of numbers.<\/p>\n\n\n\n

1. 28, 32, 4<\/strong><\/h3>\n\n\n\n
    \n
  • Factors of 28:<\/strong> 1, 2, 4, 7, 14, 28<\/li>\n\n\n\n
  • Factors of 32:<\/strong> 1, 2, 4, 8, 16, 32<\/li>\n\n\n\n
  • Factors of 4:<\/strong> 1, 2, 4<\/li>\n<\/ul>\n\n\n\n

    The greatest common factor for 28, 32, and 4 is 4<\/strong> because it is the largest number that divides all three numbers.<\/p>\n\n\n\n

    2. 12, 30, 48<\/strong><\/h3>\n\n\n\n
      \n
    • Factors of 12:<\/strong> 1, 2, 3, 4, 6, 12<\/li>\n\n\n\n
    • Factors of 30:<\/strong> 1, 2, 3, 5, 6, 10, 15, 30<\/li>\n\n\n\n
    • Factors of 48:<\/strong> 1, 2, 3, 4, 6, 8, 12, 16, 24, 48<\/li>\n<\/ul>\n\n\n\n

      The greatest common factor for 12, 30, and 48 is 6<\/strong>, as it’s the largest number that divides all three numbers.<\/p>\n\n\n\n

      3. 20, 32, 40<\/strong><\/h3>\n\n\n\n
        \n
      • Factors of 20:<\/strong> 1, 2, 4, 5, 10, 20<\/li>\n\n\n\n
      • Factors of 32:<\/strong> 1, 2, 4, 8, 16, 32<\/li>\n\n\n\n
      • Factors of 40:<\/strong> 1, 2, 4, 5, 8, 10, 20, 40<\/li>\n<\/ul>\n\n\n\n

        The greatest common factor for 20, 32, and 40 is 4<\/strong>, as it is the largest factor common to all three numbers.<\/p>\n\n\n\n

        4. 12, 16, 20<\/strong><\/h3>\n\n\n\n
          \n
        • Factors of 12:<\/strong> 1, 2, 3, 4, 6, 12<\/li>\n\n\n\n
        • Factors of 16:<\/strong> 1, 2, 4, 8, 16<\/li>\n\n\n\n
        • Factors of 20:<\/strong> 1, 2, 4, 5, 10, 20<\/li>\n<\/ul>\n\n\n\n

          The greatest common factor for 12, 16, and 20 is 4<\/strong>, as it’s the largest number that divides all three numbers.<\/p>\n\n\n\n

          5. 8, 56, 80, 112<\/strong><\/h3>\n\n\n\n
            \n
          • Factors of 8:<\/strong> 1, 2, 4, 8<\/li>\n\n\n\n
          • Factors of 56:<\/strong> 1, 2, 4, 7, 8, 14, 28, 56<\/li>\n\n\n\n
          • Factors of 80:<\/strong> 1, 2, 4, 5, 8, 10, 16, 20, 40, 80<\/li>\n\n\n\n
          • Factors of 112:<\/strong> 1, 2, 4, 7, 8, 14, 16, 28, 56, 112<\/li>\n<\/ul>\n\n\n\n

            The greatest common factor for 8, 56, 80, and 112 is 8<\/strong>, as it is the largest number that divides all four numbers.<\/p>\n\n\n\n

            Conclusion:<\/h3>\n\n\n\n
              \n
            • GCF of 28, 32, 4 = 4<\/strong><\/li>\n\n\n\n
            • GCF of 12, 30, 48 = 6<\/strong><\/li>\n\n\n\n
            • GCF of 20, 32, 40 = 4<\/strong><\/li>\n\n\n\n
            • GCF of 12, 16, 20 = 4<\/strong><\/li>\n\n\n\n
            • GCF of 8, 56, 80, 112 = 8<\/strong><\/li>\n<\/ul>\n\n\n\n

              The GCF is the largest number that divides evenly into all the numbers in the set, and finding it requires identifying all factors and selecting the highest common factor.<\/p>\n\n\n\n

              \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

              Find the greatest common factors of the following numbers. 1. 28 32 4) 12 16 20 2. 12 30 48 5) 8 56 80 112 3. 20 32 40 The Correct Answer and Explanation is: Let’s break down the greatest common factors (GCF) for each set of numbers. 1. 28, 32, 4 The greatest common […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-245384","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/245384","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=245384"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/245384\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=245384"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=245384"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=245384"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}