Find the GCF 48 , 40

$48$ , $40$

Find the common factors for the numerical part:

$48, 40$

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 $48$ .

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

The factors for $40$ are $1, 2, 4, 5, 8, 10, 20, 40$ .

The factors for $40$ are all numbers between $1$ and $40$ , which divide $40$ evenly.

Check numbers between $1$ and $40$

Find the factor pairs of $40$ where $x \cdot y = 40$ .

$\begin{array}{c} x & y \\ 1 & 40 \\ 2 & 20 \\ 4 & 10 \\ 5 & 8 \end{array}$

List the factors for $40$ .

$1, 2, 4, 5, 8, 10, 20, 40$

List all the factors for $48, 40$ to find the common factors.

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

$40$ : $1, 2, 4, 5, 8, 10, 20, 40$

The common factors for $48, 40$ are $1, 2, 4, 8$ .

$1, 2, 4, 8$

The GCF (HCF) of the numerical factors $1, 2, 4, 8$ is $8$ .

$8$