Given:
216x and 180x
To find the greatest common factor:
Let us find the factors.
[tex]\begin{gathered} 216x=2\times2\times2\times3\times3\times3\times x \\ =2^3\times3^3\times x \\ 180x=2\times2\times3\times3\times5\times x \\ =2^2\times3^2\times x \end{gathered}[/tex]
Thus, the greatest common factor is,
[tex]\begin{gathered} =2^2\times3^2\times x \\ =4\times9\times x \\ =36x \end{gathered}[/tex]
Therefore, the correct option is E.
