Question

Find the common factors of: $2y,22xy$

Answer 1

Determine the common factor:

A factor of a number is a number that divides the given number evenly.

If a number is the factor of two or more numbers. then such a number is called a common factor.

Given numbers,

$2y,22xy$

The factors of the number $2y$ and $22xy$ are

$$\begin{gathered} 2y=1\times 2\times y \\ 22xy=1\times 11\times 2\times y\times x \end{gathered}$$

On observing these factors we can conclude that

Common factor$\begin{array}{rcl}& =& 1\times 2\times y\end{array}$

$\begin{array}{rcl}& =& 2y\end{array}$

Hence the common factor of $2y$ and $22xy$ is $2y$