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

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:

${25}^{3} = 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5 \cdot 5$

$35 x = 5 \cdot 7 \cdot x$

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