Answer
$x^2$
Work Step by Step
The $GCF$ of $
1,3,
$ and $
6
$ is $
1
.$
The $GCF$ of $
x^2,x^3,
$ and $
x^2
$ is $
x^2
.$
Hence, the $GCF$ of the given expressions, $
x^2y,3x^3y
\text{ and } 6x^2
,$ is
\begin{array}{l}\require{cancel}
1x^2
\\\\=
x^2
.\end{array}