Find the GCF 56 , 196

$56$ , $196$

Step 1

Find the common factors for the numerical part:

$56, 196$

Step 2

The factors for $56$ are $1, 2, 4, 7, 8, 14, 28, 56$ .

The factors for $56$ are all numbers between $1$ and $56$ , which divide $56$ evenly.

Check numbers between $1$ and $56$

Find the factor pairs of $56$ where $x \cdot y = 56$ .

$\begin{array}{c} x & y \\ 1 & 56 \\ 2 & 28 \\ 4 & 14 \\ 7 & 8 \end{array}$

List the factors for $56$ .

$1, 2, 4, 7, 8, 14, 28, 56$

Step 3

The factors for $196$ are $1, 2, 4, 7, 14, 28, 49, 98, 196$ .

The factors for $196$ are all numbers between $1$ and $196$ , which divide $196$ evenly.

Check numbers between $1$ and $196$

Find the factor pairs of $196$ where $x \cdot y = 196$ .

$\begin{array}{c} x & y \\ 1 & 196 \\ 2 & 98 \\ 4 & 49 \\ 7 & 28 \\ 14 & 14 \end{array}$

List the factors for $196$ .

$1, 2, 4, 7, 14, 28, 49, 98, 196$

Step 4

List all the factors for $56, 196$ to find the common factors.

$56$ : $1, 2, 4, 7, 8, 14, 28, 56$

$196$ : $1, 2, 4, 7, 14, 28, 49, 98, 196$

Step 5

The common factors for $56, 196$ are $1, 2, 4, 7, 14, 28$ .

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

Step 6

The GCF (HCF) of the numerical factors $1, 2, 4, 7, 14, 28$ is $28$ .

$28$