The factors of each term in the expression 8x + 12xy are shown below. 8x: 1, 2, 4, 8, x12xy: 1, 2, 3, 4, 6, 12, x, yWhat is the greatest common factor of 8x and 12xy?

The greatest common factor includes the greatest number factor shared by both terms and any variable they share. The greatest common number factor of 8 and 12 is 4, and both terms contain x. The term y appears only in 12xy, so it is not common. Therefore, the greatest common factor is 4x, choice C.

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