Find the GCF 16 , 28

$16$ , $28$

Step 1

Find the common factors for the numerical part:

$16, 28$

Step 2

The factors for $16$ are $1, 2, 4, 8, 16$ .

The factors for $16$ are all numbers between $1$ and $16$ , which divide $16$ evenly.

Check numbers between $1$ and $16$

Find the factor pairs of $16$ where $x \cdot y = 16$ .

$\begin{array}{c} x & y \\ 1 & 16 \\ 2 & 8 \\ 4 & 4 \end{array}$

List the factors for $16$ .

$1, 2, 4, 8, 16$

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 $16, 28$ to find the common factors.

$16$ : $1, 2, 4, 8, 16$

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

Step 5

The common factors for $16, 28$ are $1, 2, 4$ .

$1, 2, 4$

Step 6

The GCF (HCF) of the numerical factors $1, 2, 4$ is $4$ .

$4$