Find the greatest common factor of the expressions $15 a b ^ { 2 }$ and $45 a ^ { 2 } b ^ { 3 }$ .
A) $15 a b ^ { 2 }$
B) $675 a b ^ { 2 }$
C) $675 a ^ { 3 } b ^ { 5 }$
D) $15 a ^ { 3 } b ^ { 5 }$
E) $675 a ^ { 2 } b ^ { 3 }$

Question

Quizplus · Accepted Answer

The greatest common factor (GCF) of two expressions is found by taking the lowest power of common factors. Here, the GCF is $15 a b^2$ because both expressions share at least $15$ as a coefficient, at least one $a$, and at least two $b$'s, making $15 a b^2$ the largest expression that divides both given expressions.

Find the Greatest Common Factor of the Expressions 15ab215 a b ^ { 2 }15ab2

Find the Greatest Common Factor of the Expressions $15 a b ^ { 2 }$