Answer
$9x^2(x^2-2x+3)$
Work Step by Step
The greatest common factor of $9, 18,$ and $27$ is $9$.
The greatest common factor of $x^4, x^3,$ and $x^2$ is $x^2$.
Thus, the greatest common factor of the binomial is $9x^2$.
Factor out $9x^2$ to obtain
$9x^2(x^2-2x+3)$.