# What is the GCF of (27x) and (9x^2)?

Jun 13, 2017

$9 x$

#### Explanation:

The GCF is $9 x$ because we can divide both $27 x$ and $9 {x}^{2}$ by $9 x$.

$\frac{27 x}{9 x} = 3$

$\frac{9 {x}^{2}}{9 x} = x$

This is what is happening:

$\frac{27 \textcolor{b l u e}{\cancel{x}}}{9 \textcolor{b l u e}{\cancel{x}}} = 3$

$\frac{\textcolor{b l u e}{\cancel{9 x}} \times x}{\textcolor{b l u e}{\cancel{9 x}}} = x$