Find the GCF 270

$270$

Step 1

The GCF of a single polynomial is itself.

Step 2

Find the common factors for the numerical part:

$270$

Step 3

The factors for $270$ are $1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270$ .

The factors for $270$ are all numbers between $1$ and $270$ , which divide $270$ evenly.

Check numbers between $1$ and $270$

Find the factor pairs of $270$ where $x \cdot y = 270$ .

$\begin{array}{c} x & y \\ 1 & 270 \\ 2 & 135 \\ 3 & 90 \\ 5 & 54 \\ 6 & 45 \\ 9 & 30 \\ 10 & 27 \\ 15 & 18 \end{array}$

List the factors for $270$ .

$1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270$

Step 4

List all the factors for $270$ to find the common factors.

$270$ : $1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270$

Step 5

The common factors for $270$ are $1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270$ .

$1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270$

Step 6

The GCF (HCF) of the numerical factors $1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270$ is $270$ .

$270$