Find the GCF 10 , 4

$10$ , $4$

Step 1

Find the common factors for the numerical part:

$10, 4$

Step 2

The factors for $10$ are $1, 2, 5, 10$ .

The factors for $10$ are all numbers between $1$ and $10$ , which divide $10$ evenly.

Check numbers between $1$ and $10$

Find the factor pairs of $10$ where $x \cdot y = 10$ .

$\begin{array}{c} x & y \\ 1 & 10 \\ 2 & 5 \end{array}$

List the factors for $10$ .

$1, 2, 5, 10$

Step 3

The factors for $4$ are $1, 2, 4$ .

The factors for $4$ are all numbers between $1$ and $4$ , which divide $4$ evenly.

Check numbers between $1$ and $4$

Find the factor pairs of $4$ where $x \cdot y = 4$ .

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

List the factors for $4$ .

$1, 2, 4$

Step 4

List all the factors for $10, 4$ to find the common factors.

$10$ : $1, 2, 5, 10$

$4$ : $1, 2, 4$

Step 5

The common factors for $10, 4$ are $1, 2$ .

$1, 2$

Step 6

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

$2$