#### Answer

$xy(2x-6y+3)$

#### Work Step by Step

The greatest common factor of the coefficients 2, -6, and 3 is $1$.
The greatest common factor of $x^2, x,$ and $x$ is $x$.
The greatest common factor of $y, y^2,$ and $y$ is $y$
Thus, the greatest common factor of the three terms is $xy$.
Factor out $xy$ to obtain:
$=xy(2x-6y+3)$