Question

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

Answer 1

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`.