Find the GCF 437 , 2491

$437$ , $2491$

Step 1

Find the common factors for the numerical part:

$437, 2491$

Step 2

The factors for $437$ are $1, 19, 23, 437$ .

The factors for $437$ are all numbers between $1$ and $437$ , which divide $437$ evenly.

Check numbers between $1$ and $437$

Find the factor pairs of $437$ where $x \cdot y = 437$ .

$\begin{array}{c} x & y \\ 1 & 437 \\ 19 & 23 \end{array}$

List the factors for $437$ .

$1, 19, 23, 437$

Step 3

The factors for $2491$ are $1, 47, 53, 2491$ .

The factors for $2491$ are all numbers between $1$ and $2491$ , which divide $2491$ evenly.

Check numbers between $1$ and $2491$

Find the factor pairs of $2491$ where $x \cdot y = 2491$ .

$\begin{array}{c} x & y \\ 1 & 2491 \\ 47 & 53 \end{array}$

List the factors for $2491$ .

$1, 47, 53, 2491$

Step 4

List all the factors for $437, 2491$ to find the common factors.

$437$ : $1, 19, 23, 437$

$2491$ : $1, 47, 53, 2491$

Step 5

The common factors for $437, 2491$ are $1$ .

$1$

Step 6

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

$1$