What is the greatest common factor for -14x^2y and -28x^2?

-14x²y = (-14)(x²)(y)
-28x² = 2(-14)(x²)

Greatest common factor = (-14x²)

14 x²

-14x^2y = -1 * 2 * 7 * x^2 * y
-28x^2 = -1 * 2 * 2 * 7 * x^2
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The GCF of -14x^2y , -28x^2 is:
-1 * 2 * 7 * x^2
= -14x^2

This is your third GCF question in 2 minutes. Are we doing your Math homework?

Do the same as you would with regular intergers, i.e. factor:

-14(x^2)(y) = -2*7*x*x*y

-28x^2 = -2*2*7*x*x

As you can see, their common factors are:

-2,7,x^2: multiply them to get the greatest common factor:

-14x^2

14x^2

-14x^2