# How do you find the GCF of 15r^2t, 35t^2, 70rt?

May 1, 2017

See the solution process below:

#### Explanation:

We can factor each of these terms as:

$15 {r}^{2} t = 3 \times \textcolor{red}{5} \times r \times r \times \textcolor{red}{t}$

$35 {t}^{2} = \textcolor{red}{5} \times 7 \times \textcolor{red}{t} \times t$

$70 r t = 2 \times \textcolor{red}{5} \times 7 \times r \times \textcolor{red}{t}$

Therefore the Greatest Common Factor is: $\textcolor{red}{5 t}$