Find the GCF 64 , 16 , 4 , 1

$64$ , $16$ , $4$ , $1$

Find the common factors for the numerical part:

$64, 16, 4, 1$

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 $16$ 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 $16$ .

$1, 2, 4, 8, 16$

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

The factors for $4$ are all numbers between $1$ and $4$ , which divide $4$ evenly.

Check numbers between $1$ and $4$

Find the factor pairs of $4$ where $x \cdot y = 4$ .

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

List the factors for $4$ .

$1, 2, 4$

The factors for $1$ are $1$ .

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

Check numbers between $1$ and $1$

Find the factor pairs of $1$ where $x \cdot y = 1$ .

$\begin{array}{c} x & y \\ 1 & 1 \end{array}$

List the factors for $1$ .

$1$

List all the factors for $64, 16, 4, 1$ to find the common factors.

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

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

$4$ : $1, 2, 4$

$1$ : $1$

The common factors for $64, 16, 4, 1$ are $1$ .

$1$

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

$1$