Precalculus Examples

$24$ and $54$

Step 1

Find the common factors for the numerical part:

$24, 54$

Step 2

The factors for $24$ are $1, 2, 3, 4, 6, 8, 12, 24$ .

Tap for more steps...

Step 2.1

The factors for $24$ are all numbers between $1$ and $24$ , which divide $24$ evenly.

Check numbers between $1$ and $24$

Step 2.2

Find the factor pairs of $24$ where $x \cdot y = 24$ .

$\begin{array}{c} x & y \\ 1 & 24 \\ 2 & 12 \\ 3 & 8 \\ 4 & 6 \end{array}$

Step 2.3

List the factors for $24$ .

$1, 2, 3, 4, 6, 8, 12, 24$

Step 3

The factors for $54$ are $1, 2, 3, 6, 9, 18, 27, 54$ .

Tap for more steps...

Step 3.1

The factors for $54$ are all numbers between $1$ and $54$ , which divide $54$ evenly.

Check numbers between $1$ and $54$

Step 3.2

Find the factor pairs of $54$ where $x \cdot y = 54$ .

$\begin{array}{c} x & y \\ 1 & 54 \\ 2 & 27 \\ 3 & 18 \\ 6 & 9 \end{array}$

Step 3.3

List the factors for $54$ .

$1, 2, 3, 6, 9, 18, 27, 54$

Step 4

List all the factors for $24, 54$ to find the common factors.

$24$ : $1, 2, 3, 4, 6, 8, 12, 24$

$54$ : $1, 2, 3, 6, 9, 18, 27, 54$

Step 5

The common factors for $24, 54$ are $1, 2, 3, 6$ .

$1, 2, 3, 6$

Step 6

The GCF (HCF) of the numerical factors $1, 2, 3, 6$ is $6$ .

$6$