Question

How do you find the greatest common factor of `60y, 56x^2`?

Answer 1

4

Explanation:

To find the GCF, let's see what these two terms are made of:

`60y=2xx30y=2xx2xx15y=2xx2xx3xx5xxy`

`56x^2=2xx28x^2=2xx2xx14x^2=2xx2xx2xx7xx x^2`

So what is the biggest number we can make that is within both of the terms we're looking at?

There are two 2s that both terms have - and nothing else in common. So the GCF is `2xx2=4`

`4xx15y=60y`
`4xx14x^2=56x^2`