What is the greatest common factor of 60 x to the 4th power y to the 7th power , 45 x to the 5th power y to the 5th power , and 75 x cubed y ?

Find the greatest common factor of the coefficients and of each variable. The greatest common factor of 60, 45, and 75 is 15. For x, use the smallest exponent among 4, 5, and 3, which is 3; for y, use the smallest exponent among 7, 5, and 1, which is 1. Therefore, the greatest common factor is 15x³y, choice A.

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