# How do you find the GCF of 15cd^2, 25c^2d)?

May 3, 2017

See the solution process below:

#### Explanation:

Each of the terms can be rewritten as:

$15 c {d}^{2} = 3 \times \textcolor{red}{5} \times \textcolor{red}{c} \times \textcolor{red}{d} \times d$

$25 {c}^{2} d = 5 \times \textcolor{red}{5} \times \textcolor{red}{c} \times c \times \textcolor{red}{d}$

Therefore, the Greatest Common Factor is:

$\textcolor{red}{5} \times \textcolor{red}{c} \times \textcolor{red}{d} = 5 c d$