# How do you find the greatest common factor of #45y^{12}+30y^{10}#?

##### 3 Answers

#### Explanation:

The largest number that goes into 45 and 30 is 15

The greatest common factor is

#### Explanation:

I suppose you're asking for the greatest common factor between

We need to find the greatest common factor for both the numeric and literal part.

For the numeric part, we can use the prime factorization of the two numbers:

So, what's the biggest number that "fits" inside both

Well, we can't choose

So, the answer is

As for the literal part, we have a similar way to proceed: since "there are"

So, the greatest common factor is

and there is nothing else to factor between

Broken down into steps

#### Explanation:

We know that 5 is a factor of both 45 and 30

We know that 3 is a factor of both 9 and 6

We know that

Factor out the