Greatest Common Factor Review

Contributor: Danielle Childers. Lesson ID: 10768

How does math factor into your life? When you have to simplify fractions, a simple way is to find the greatest common factor, and we'll show you how, with online games, exercises, and . . . exercises!


Middle School

learning style
Kinesthetic, Visual
personality style
Grade Level
Middle School (6-8)
Lesson Type
Skill Sharpener

Lesson Plan - Get It!


How many multiplication equations can you make to get the answer of 36? Can you find 5 of them? Come on, let's try!

Did you find the 5 multiplication problems with the answer of 36?

Let's go over them and see if you found them all:

  • 1 x 36 = 36
  • 2 x 18 = 36
  • 3 x 12 = 36
  • 4 x 9 = 36
  • 6 x 6= 36

From the answers above, we could say that the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. Usually the factors are written from least to greatest.

Here is a great explanation of Greatest Common Factor from MathIsFun.

Using a Venn Diagram, you can see how to find the Greatest Common Factor (GCF):

You can see all of the common factors in the middle, but only the largest number is the GCF!

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