Find the GCF 44 , 64 , 100

$44$ , $64$ , $100$

Find the common factors for the numerical part:

$44, 64, 100$

The factors for $44$ are $1, 2, 4, 11, 22, 44$ .

The factors for $44$ are all numbers between $1$ and $44$ , which divide $44$ evenly.

Check numbers between $1$ and $44$

Find the factor pairs of $44$ where $x \cdot y = 44$ .

$\begin{array}{c} x & y \\ 1 & 44 \\ 2 & 22 \\ 4 & 11 \end{array}$

List the factors for $44$ .

$1, 2, 4, 11, 22, 44$

The factors for $64$ are $1, 2, 4, 8, 16, 32, 64$ .

The factors for $64$ are all numbers between $1$ and $64$ , which divide $64$ evenly.

Check numbers between $1$ and $64$

Find the factor pairs of $64$ where $x \cdot y = 64$ .

$\begin{array}{c} x & y \\ 1 & 64 \\ 2 & 32 \\ 4 & 16 \\ 8 & 8 \end{array}$

List the factors for $64$ .

$1, 2, 4, 8, 16, 32, 64$

The factors for $100$ are $1, 2, 4, 5, 10, 20, 25, 50, 100$ .

The factors for $100$ are all numbers between $1$ and $100$ , which divide $100$ evenly.

Check numbers between $1$ and $100$

Find the factor pairs of $100$ where $x \cdot y = 100$ .

$\begin{array}{c} x & y \\ 1 & 100 \\ 2 & 50 \\ 4 & 25 \\ 5 & 20 \\ 10 & 10 \end{array}$

List the factors for $100$ .

$1, 2, 4, 5, 10, 20, 25, 50, 100$

List all the factors for $44, 64, 100$ to find the common factors.

$44$ : $1, 2, 4, 11, 22, 44$

$64$ : $1, 2, 4, 8, 16, 32, 64$

$100$ : $1, 2, 4, 5, 10, 20, 25, 50, 100$

The common factors for $44, 64, 100$ are $1, 2, 4$ .

$1, 2, 4$

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

$4$