Answer
The GCF=$9c$
$9c(5c^{4}-7c^{2}+3)$
Work Step by Step
Find the GCF of the term of each polynomial. Then factor the polynomial.
$45c^{5}-63c^{3}+27c$
All the terms have a $c$ so the GCF must have a $c$
All of the coefficients are divisible by $9$ so the GCF must contain $9$
The GCF=$9c$
Factor:
$9c(5c^{4}-7c^{2}+3)$