Find the GCF.
-$64 a ^ { 8 } b ^ { 4 } , 56 a ^ { 6 } b ^ { 8 }$
A) $448 a ^ { 8 } b ^ { 8 }$
B) $8 a ^ { 6 } b ^ { 4 }$
C) $4 a ^ { 2 } b ^ { 4 }$
D) $8 a ^ { 8 } b ^ { 8 }$

Question

Quizplus · Accepted Answer

- First, we need to break down both numbers into their prime factors:
$64a^8b^4 = 2^6 \cdot 2^2 \cdot a^8 \cdot b^4$
$56a^6b^8 = 2^3 \cdot 7 \cdot a^6 \cdot b^8$
- The greatest common factor will be the product of the common factors with the lowest exponents. In this case, the common factors are 2, a, and b:
GCF $= 2^3 \cdot a^6 \cdot b^4 = 8a^6b^4$

Find the GCF 64a8b4,56a6b864 a ^ { 8 } b ^ { 4 } , 56 a ^ { 6 } b ^ { 8 }64a8b4,56a6b8

Find the GCF $64 a ^ { 8 } b ^ { 4 } , 56 a ^ { 6 } b ^ { 8 }$