Answer
GCF=$v^{2}$
Work Step by Step
Find the GCF of the terms of each polynomial.
$7v^{3}-10v^{2}+9v^{4}$
All of the terms are divisible by $v^{2}$ so the GCF must contain $v^{2}$
The coefficients don't have a common factor.
GCF=$v^{2}$
All of the terms are divisible by $v^{2}$
