Find the GCF 50 , 20

$50$ , $20$

Step 1

Find the common factors for the numerical part:

$50, 20$

Step 2

The factors for $50$ are $1, 2, 5, 10, 25, 50$ .

The factors for $50$ are all numbers between $1$ and $50$ , which divide $50$ evenly.

Check numbers between $1$ and $50$

Find the factor pairs of $50$ where $x \cdot y = 50$ .

$\begin{array}{c} x & y \\ 1 & 50 \\ 2 & 25 \\ 5 & 10 \end{array}$

List the factors for $50$ .

$1, 2, 5, 10, 25, 50$

Step 3

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

The factors for $20$ are all numbers between $1$ and $20$ , which divide $20$ evenly.

Check numbers between $1$ and $20$

Find the factor pairs of $20$ where $x \cdot y = 20$ .

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

List the factors for $20$ .

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

Step 4

List all the factors for $50, 20$ to find the common factors.

$50$ : $1, 2, 5, 10, 25, 50$

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

Step 5

The common factors for $50, 20$ are $1, 2, 5, 10$ .

$1, 2, 5, 10$

Step 6

The GCF (HCF) of the numerical factors $1, 2, 5, 10$ is $10$ .

$10$