# How do you find the GCF of 12xy, 16x^2y?

Jun 27, 2017

See a solution process below:

#### Explanation:

To find the GCF of the two terms first, factor each term separately:

$12 x y = \textcolor{red}{2} \times \textcolor{red}{2} \times 3 \times \textcolor{red}{x} \times \textcolor{red}{y}$

$16 {x}^{2} y = \textcolor{red}{2} \times \textcolor{red}{2} \times 2 \times 2 \times \textcolor{red}{x} \times x \times \textcolor{red}{y}$

Now, take ALL the common factors from each term and combine them to find the GCF:

$\textcolor{red}{2} \times \textcolor{red}{2} \times \textcolor{red}{x} \times \textcolor{red}{y} = 4 x y$