# How do you find the GCF of #60r^2, 45r^3#?

##### 1 Answer

#### Explanation:

First, let's identify the factors of

For

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

and for

1, 3, 5, 9, 15, 45

For our Greatest Common Factor or GCF, we need to find the biggest number that is a factor of both

In this case that is

60 = 1, 2, 3, 4, 5, 6, 10, 12,

45 = 1, 3, 5, 9,

So now we can say we have

but remember that we can simplify the exponents of the variables as well.

We have

What is the largest exponent that these two have in common?

Think of it like this...

See how we count up to find the exponent of greatest power

So, now we can see that the GCF for the

So now we know that our GCF is: