Pre-Algebra Examples

$17$ , $51$

Step 1

Find the common factors for the numerical part:

$17, 51$

Step 2

The factors for $17$ are $1, 17$ .

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Step 2.1

The factors for $17$ are all numbers between $1$ and $17$ , which divide $17$ evenly.

Check numbers between $1$ and $17$

Step 2.2

Find the factor pairs of $17$ where $x \cdot y = 17$ .

$\begin{array}{c} x & y \\ 1 & 17 \end{array}$

Step 2.3

List the factors for $17$ .

$1, 17$

Step 3

The factors for $51$ are $1, 3, 17, 51$ .

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Step 3.1

The factors for $51$ are all numbers between $1$ and $51$ , which divide $51$ evenly.

Check numbers between $1$ and $51$

Step 3.2

Find the factor pairs of $51$ where $x \cdot y = 51$ .

$\begin{array}{c} x & y \\ 1 & 51 \\ 3 & 17 \end{array}$

Step 3.3

List the factors for $51$ .

$1, 3, 17, 51$

Step 4

List all the factors for $17, 51$ to find the common factors.

$17$ : $1, 17$

$51$ : $1, 3, 17, 51$

Step 5

The common factors for $17, 51$ are $1, 17$ .

$1, 17$

Step 6

The GCF (HCF) of the numerical factors $1, 17$ is $17$ .

$17$