How do you find the gcf of #25^3 - 35x#?

1 Answer
George C.
Jun 23, 2015

The only common factor of the terms is #5#, so the gcf is #5#.

Explanation:

To find the gcf, first factor each term, then identify the common factors with their multiplicities, then multiply those common factors to get the gcf.

In the example given:

#25^3 = 5*5*5*5*5*5#

#35x=5*7*x#

The only common factor in all the terms is #5#, so the GCF is #5#.

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