Find the greatest common factor of the expressions $7 ( x - 4 ) ^ { 2 }$ and $7 ( x - 4 ) ^ { 3 }$ .
A) $7 ( x - 4 ) ^ { 2 }$
B) $49 ( x - 4 ) ^ { 3 }$
C) $49 ( x - 4 ) ^ { 5 }$
D) $7 ( x - 4 ) ^ { 3 }$
E) $49 ( x - 4 ) ^ { 2 }$

Question

Quizplus · Accepted Answer

The greatest common factor (GCF) of two expressions is the highest expression that divides both without leaving a remainder. Here, $7(x-4)^2$ is the GCF because it is the highest power of $x-4$ that divides both expressions, and the coefficient 7 is common to both.

Find the Greatest Common Factor of the Expressions 7(x−4)27 ( x - 4 ) ^ { 2 }7(x−4)2

Find the Greatest Common Factor of the Expressions $7 ( x - 4 ) ^ { 2 }$