###### Asked in Math and ArithmeticFactoring and Multiples

Math and Arithmetic

Factoring and Multiples

# What is the greatest common factor of 8 an 12?

## Answer

###### Wiki User

###### October 01, 2009 4:41PM

4

Look at the prime decompositions of each

8 = 2*2*2

12 = 2*2*3

Now look at all the terms in common.

They both have at least two 2's.

They share a factor of 4.

What is left after removing 4?

8/4 = 2

12/4 = 3

There is nothing left in common now.

So the greatest common factor is 4.