How Do You Factor a Greatest Common Factor Out of an Expression?

How Do You Factor a Greatest Common Factor Out of an Expression?

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. In this tutorial, see how to identify the GCF of an expression and factor it out. Check it out!

Keywords:

  • problem
  • factor
  • greatest common factor
  • gcf
  • common factor
  • factors
  • prime factor
  • prime factors
  • distribute
  • distributive property
  • multiply
  • multiply factors
  • prime
  • prime number
  • prime numbers

Background Tutorials

  • Prime Factorization

  • 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.

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.