Answer
$y^2(26y^3-13y+39)$
Work Step by Step
Factoring the $GCF=
y^2
,$ the given expression, $
26y^5-13y^3+39y^2
,$ is equivalent to
\begin{array}{l}\require{cancel}
y^2
\left(
\dfrac{26y^5}{y^2}-\dfrac{13y^3}{y^2}+\dfrac{39y^2}{y^2}
\right)
\\\\=
y^2(26y^3-13y+39)
.\end{array}