Answer
$$4xy^2$$
Work Step by Step
\begin{align*}
\text{The $GCF$ of $
4,
16,
\text{ and }
8
\text{ is }
4
$}
.\\\\
\text{The $GCF$ of $
x,
x,
\text{ and }
x
\text{ is }
x
$}
.\\\\
\text{The $GCF$ of $
y^2,
y^3,
\text{ and }
y^2
\text{ is }
y^2
$}
.\end{align*}
Hence, the $GCF$ of the given expressions is $4xy^2$.