What is the greatest common factor of 42a5b3, 35a3b4, and 42ab4? 7ab3   6a4b 42a5b4 77a8b7

The correct answer is:

7ab³

Explanation:

The greatest common factor is the largest thing that each term is divisible by.

The coefficients of our terms are 42, 35 and 42.  Using the prime factorization for each,

42 = 6*7

6 = 2*3

42 = 2*3*7

35 = 5*7

The greatest common factor is 7.

For the variables, each term has at least a¹ and at least b³.  This means that ab³ is part of the GCF; this gives us a GCF of 7ab³.

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