How Do You Find the Greatest Common Factor of Two Numbers by Listing Their Factors?

How Do You Find the Greatest Common Factor of Two Numbers by Listing Their Factors?

Note:

The greatest common factor (GCF) is the largest factor two or more numbers have in common. Finding the GCF can be very useful in simplifying an expression or solving an equation. Watch this tutorial and learn what it takes to find the GCF of two numbers!

Keywords:

  • problem
  • factor
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  • gcf
  • common factor
  • factors
  • list factors
  • list all factors
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  • divisible
  • divisibility
  • multiply
  • multiplication
  • divide
  • division

Background Tutorials

  • Factors and Greatest Common Factor

      • What's a Factor?What's a Factor?

      What's a Factor?

      Factors are a fundamental part of algebra, so it would be a great idea to know all about them. This tutorial can help! Take a look!

  • Divisibility

Further Exploration

  • Greatest Common Factor

      • How Do You Find the Greatest Common Factor of Two Numbers Using Prime Factorization?How Do You Find the Greatest Common Factor of Two Numbers Using Prime Factorization?

      How Do You Find the Greatest Common Factor of Two Numbers Using Prime Factorization?

      This tutorial uses something called a factor tree to find the greatest common factor of two numbers. Creating a factor tree for a number makes it easier to find its prime factors. These prime factors are used to help find the greatest common factor. Watch this tutorial and learn how to find the greatest common factor using a factor tree.

      • How Do You Find the Greatest Common Factor If There are No Common Factors?How Do You Find the Greatest Common Factor If There are No Common Factors?

      How Do You Find the Greatest Common Factor If There are No Common Factors?

      To find the greatest common factor (GCF) between numbers, take each number and write it's prime factorization. Then, identify the factors common to each number and multiply those common factors together. What? There are NO factors in common? Then the GCF is 1. This tutorial gives you one such example. Check it out!