Find the GCF 14 20

$14$ $20$

Step 1

Find the common factors for the numerical part:

$14, 20$

Step 2

The factors for $14$ are $1, 2, 7, 14$ .

The factors for $14$ are all numbers between $1$ and $14$ , which divide $14$ evenly.

Check numbers between $1$ and $14$

Find the factor pairs of $14$ where $x \cdot y = 14$ .

$\begin{array}{c} x & y \\ 1 & 14 \\ 2 & 7 \end{array}$

List the factors for $14$ .

$1, 2, 7, 14$

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 $14, 20$ to find the common factors.

$14$ : $1, 2, 7, 14$

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

Step 5

The common factors for $14, 20$ are $1, 2$ .

$1, 2$

Step 6

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

$2$