# How do you find the GCF of 14b, 56b^2?

Mar 5, 2018

See a solution process below:

#### Explanation:

First, factor the two terms as:

$14 b = 2 \times 7 \times b$

$56 {b}^{2} = 2 \times 2 \times 2 \times 7 \times b \times b$

Next, identify the common terms in each factorization:

$14 b = \textcolor{red}{2} \times \textcolor{red}{7} \times \textcolor{red}{b}$

$56 {b}^{2} = \textcolor{red}{2} \times 2 \times 2 \times \textcolor{red}{7} \times \textcolor{red}{b} \times b$

The Greatest Common Factor is therefore:

$\text{GCF} = \textcolor{red}{2} \times \textcolor{red}{7} \times \textcolor{red}{b} = 14 b$