Question

How do you find the greatest common factor of `105x, 30yx, 75x`?

Answer 1

15

Explanation:

Remember that the greatest common factor (GCF) is the largest factor that each number has in common.

First, you split each one up into simplest form.
`105x=3*5*7*x`
`30xy=2*3*5*x*y`
`75x=3*5*5`

Then you pick the common factor(s) from each one. Basically, what does each one have in common. We see that each one has a 3 and a 5. Thus the GCF is `3*5=15`