Question

Whats the greatest common factor for 27 and 36?

Answer 1

The greatest common factor of `27` and `36` is `9`.

Explanation:

One way to find the greatest common factor (GCF) is to list all of the factors for the numbers. Factors are all of the numbers that can be multiplied to get the number listed. We'll start by finding both number's factors.

`27= 1, 3, 9, 27`
`36= 1, 2, 3, 4, 6, 9, 12, 18, 36`

If you are confused on what factors are or need more explanation, go to www.mathisfun.com/numbers/factors=all-tool.html.

Now that we know the factors of both numbers, we want to find the largest factor that both numbers have. If we read through the list, we see that both `27` and `36` share the factors `3` and `9`. `9` is larger, so `9` would be the GCF.

I hope that this helped you. If you have any questions about this problem, message me or go to www.mathisfun.com/greatest-common-factor.html.