Find the GCF 260 and 348

$260$ and $348$

Find the common factors for the numerical part:

$260, 348$

The factors for $260$ are $1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260$ .

The factors for $260$ are all numbers between $1$ and $260$ , which divide $260$ evenly.

Check numbers between $1$ and $260$

Find the factor pairs of $260$ where $x \cdot y = 260$ .

$\begin{array}{c} x & y \\ 1 & 260 \\ 2 & 130 \\ 4 & 65 \\ 5 & 52 \\ 10 & 26 \\ 13 & 20 \end{array}$

List the factors for $260$ .

$1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260$

The factors for $348$ are $1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348$ .

The factors for $348$ are all numbers between $1$ and $348$ , which divide $348$ evenly.

Check numbers between $1$ and $348$

Find the factor pairs of $348$ where $x \cdot y = 348$ .

$\begin{array}{c} x & y \\ 1 & 348 \\ 2 & 174 \\ 3 & 116 \\ 4 & 87 \\ 6 & 58 \\ 12 & 29 \end{array}$

List the factors for $348$ .

$1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348$

List all the factors for $260, 348$ to find the common factors.

$260$ : $1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260$

$348$ : $1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348$

The common factors for $260, 348$ are $1, 2, 4$ .

$1, 2, 4$

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

$4$