Find the GCF 14 , 28

$14$ , $28$

Step 1

Find the common factors for the numerical part:

$14, 28$

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 $28$ are $1, 2, 4, 7, 14, 28$ .

The factors for $28$ are all numbers between $1$ and $28$ , which divide $28$ evenly.

Check numbers between $1$ and $28$

Find the factor pairs of $28$ where $x \cdot y = 28$ .

$\begin{array}{c} x & y \\ 1 & 28 \\ 2 & 14 \\ 4 & 7 \end{array}$

List the factors for $28$ .

$1, 2, 4, 7, 14, 28$

Step 4

List all the factors for $14, 28$ to find the common factors.

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

$28$ : $1, 2, 4, 7, 14, 28$

Step 5

The common factors for $14, 28$ are $1, 2, 7, 14$ .

$1, 2, 7, 14$

Step 6

The GCF (HCF) of the numerical factors $1, 2, 7, 14$ is $14$ .

$14$