Find the GCF 27 , 32

$27$ , $32$

Find the common factors for the numerical part:

$27, 32$

The factors for $27$ are $1, 3, 9, 27$ .

The factors for $27$ are all numbers between $1$ and $27$ , which divide $27$ evenly.

Check numbers between $1$ and $27$

Find the factor pairs of $27$ where $x \cdot y = 27$ .

$\begin{array}{c} x & y \\ 1 & 27 \\ 3 & 9 \end{array}$

List the factors for $27$ .

$1, 3, 9, 27$

The factors for $32$ are $1, 2, 4, 8, 16, 32$ .

The factors for $32$ are all numbers between $1$ and $32$ , which divide $32$ evenly.

Check numbers between $1$ and $32$

Find the factor pairs of $32$ where $x \cdot y = 32$ .

$\begin{array}{c} x & y \\ 1 & 32 \\ 2 & 16 \\ 4 & 8 \end{array}$

List the factors for $32$ .

$1, 2, 4, 8, 16, 32$

List all the factors for $27, 32$ to find the common factors.

$27$ : $1, 3, 9, 27$

$32$ : $1, 2, 4, 8, 16, 32$

The common factors for $27, 32$ are $1$ .

$1$

The GCF (HCF) of the numerical factors $1$ is $1$ .

$1$