Find the GCF 27 48

$27$ $48$

Find the common factors for the numerical part:

$27, 48$

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 $48$ are $1, 2, 3, 4, 6, 8, 12, 16, 24, 48$ .

The factors for $48$ are all numbers between $1$ and $48$ , which divide $48$ evenly.

Check numbers between $1$ and $48$

Find the factor pairs of $48$ where $x \cdot y = 48$ .

$\begin{array}{c} x & y \\ 1 & 48 \\ 2 & 24 \\ 3 & 16 \\ 4 & 12 \\ 6 & 8 \end{array}$

List the factors for $48$ .

$1, 2, 3, 4, 6, 8, 12, 16, 24, 48$

List all the factors for $27, 48$ to find the common factors.

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

$48$ : $1, 2, 3, 4, 6, 8, 12, 16, 24, 48$

The common factors for $27, 48$ are $1, 3$ .

$1, 3$

The GCF (HCF) of the numerical factors $1, 3$ is $3$ .

$3$