# How do you factor by finding the GCF? 7x^3 - 28x^3

## I forgot the steps to factoring this way.

Mar 18, 2017

$7 {x}^{3}$

#### Explanation:

Assuming you mean the greatest common factor of $7 {x}^{3} \mathmr{and} 28 {x}^{3}$

Greatest minus the lesser type approach

$28 {x}^{3} - 7 {x}^{3} = 21 {x}^{3}$

$21 {x}^{3} - 7 {x}^{3} = 14 {x}^{3}$

$14 {x}^{3} - 7 {x}^{2} = 7 {x}^{3}$

$7 {x}^{3} - 7 {x}^{3} = 0$

Thus GCF is $7 {x}^{3}$