Find the GCF 76 , 95

$76$ , $95$

Step 1

Find the common factors for the numerical part:

$76, 95$

Step 2

The factors for $76$ are $1, 2, 4, 19, 38, 76$ .

The factors for $76$ are all numbers between $1$ and $76$ , which divide $76$ evenly.

Check numbers between $1$ and $76$

Find the factor pairs of $76$ where $x \cdot y = 76$ .

$\begin{array}{c} x & y \\ 1 & 76 \\ 2 & 38 \\ 4 & 19 \end{array}$

List the factors for $76$ .

$1, 2, 4, 19, 38, 76$

Step 3

The factors for $95$ are $1, 5, 19, 95$ .

The factors for $95$ are all numbers between $1$ and $95$ , which divide $95$ evenly.

Check numbers between $1$ and $95$

Find the factor pairs of $95$ where $x \cdot y = 95$ .

$\begin{array}{c} x & y \\ 1 & 95 \\ 5 & 19 \end{array}$

List the factors for $95$ .

$1, 5, 19, 95$

Step 4

List all the factors for $76, 95$ to find the common factors.

$76$ : $1, 2, 4, 19, 38, 76$

$95$ : $1, 5, 19, 95$

Step 5

The common factors for $76, 95$ are $1, 19$ .

$1, 19$

Step 6

The GCF (HCF) of the numerical factors $1, 19$ is $19$ .

$19$