Algebra Examples

36

$36$

Step 1

The GCF of a single polynomial is itself.

Step 2

Find the common factors for the numerical part:

36

$36$

Step 3

The factors for

36

$36$ are

1, 2, 3, 4, 6, 9, 12, 18, 36

$1, 2, 3, 4, 6, 9, 12, 18, 36$ .

Tap for more steps...

The factors for

36

$36$ are all numbers between

1

$1$ and

36

$36$ , which divide

36

$36$ evenly.

Check numbers between

1

$1$ and

36

$36$

Find the factor pairs of

36

$36$ where

x \cdot y = 36

$x \cdot y = 36$ .

\begin{array}{c} x & y \\ 1 & 36 \\ 2 & 18 \\ 3 & 12 \\ 4 & 9 \\ 6 & 6 \end{array}

$\begin{array}{c} x & y \\ 1 & 36 \\ 2 & 18 \\ 3 & 12 \\ 4 & 9 \\ 6 & 6 \end{array}$

List the factors for

36

$36$ .

1, 2, 3, 4, 6, 9, 12, 18, 36

$1, 2, 3, 4, 6, 9, 12, 18, 36$

1, 2, 3, 4, 6, 9, 12, 18, 36

$1, 2, 3, 4, 6, 9, 12, 18, 36$

Step 4

List all the factors for

36

$36$ to find the common factors.

36

$36$ :

1, 2, 3, 4, 6, 9, 12, 18, 36

$1, 2, 3, 4, 6, 9, 12, 18, 36$

Step 5

The common factors for

36

$36$ are

1, 2, 3, 4, 6, 9, 12, 18, 36

$1, 2, 3, 4, 6, 9, 12, 18, 36$ .

1, 2, 3, 4, 6, 9, 12, 18, 36

$1, 2, 3, 4, 6, 9, 12, 18, 36$

Step 6

The GCF (HCF) of the numerical factors

1, 2, 3, 4, 6, 9, 12, 18, 36

$1, 2, 3, 4, 6, 9, 12, 18, 36$ is

36

$36$ .

36

$36$

36

$36$

(

)

[

]

√



≥

















≤















∩

∪







∞











