Question

We need help solve the below multiple choice math question

Answer 1

Given:

216x and 180x

To find the greatest common factor:

Let us find the factors.

`\begin{gathered} 216x=2*2*2*3*3*3* x \\ =2^3*3^3* x \\ 180x=2*2*3*3*5* x \\ =2^2*3^2* x \end{gathered}`

Thus, the greatest common factor is,

`\begin{gathered} =2^2*3^2* x \\ =4*9* x \\ =36x \end{gathered}`

Therefore, the correct option is E.