*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!

categories

subject

Math

learning style

Kinesthetic, Visual

personality style

Lion

Grade Level

Middle School (6-8)

Lesson Type

Skill Sharpener

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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