Find the greatest common factor of the expressions below, if one exists. $40 ( 7 - y ) ^ { 5 } , 50 ( 7 - y ) ^ { 4 }$
A) $40 ( 7 - y ) ^ { 4 }$
B) $5 ( 7 - y ) ^ { 10 }$
C) $10 ( 7 - y ) ^ { 4 }$
D) $4 ( 7 - y ) ^ { 5 }$
E)No greatest common monomial factor exists.

Question

Quizplus · Accepted Answer

The common factor is $10 (7-y)^4$. This can be found by taking the greatest common factor of the coefficients (which is 10) and the greatest power of the common factor $(7-y)$, which is 4. Therefore, the answer is $\boxed{	extbf{(C)}}$.

Find the Greatest Common Factor of the Expressions Below, If 40(7−y)5,50(7−y)440 ( 7 - y ) ^ { 5 } , 50 ( 7 - y ) ^ { 4 }40(7−y)5,50(7−y)4

Find the Greatest Common Factor of the Expressions Below, If $40 ( 7 - y ) ^ { 5 } , 50 ( 7 - y ) ^ { 4 }$