How do you find the greatest common factor of 105x, 30yx, 75x105x,30yx,75x?

1 Answer
Harlan G.
Dec 1, 2016

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*x105x=3⋅5⋅7⋅x
30xy=2*3*5*x*y30xy=2⋅3⋅5⋅x⋅y
75x=3*5*575x=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=153⋅5=15

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