Find the greatest common factor of the given expressions. $54 y ^ { 4 } a ^ { 9 } , 48 y ^ { 3 } a ^ { 11 } \text { and } 78 y ^ { 6 } a ^ { 5 }$
A) $8 a ^ { 9 }$
B) $6 y ^ { 3 } a ^ { 5 }$
C) $9 y ^ { 8 } a ^ { 5 }$
D) $8 a ^ { 8 }$
E) $6 y a ^ { 10 }$

Question

Quizplus · Accepted Answer

We can start by factoring each of the expressions and finding the common factors.
$$54y^4a^9 = 2\cdot3^3\cdot y^4\cdot a^9$$
$$48y^3a^{11} = 2^4\cdot3\cdot y^3\cdot a^{11}$$
$$78y^6a^5 = 2\cdot3\cdot13\cdot y^6\cdot a^5$$
The common factor for $y$ is $y^3$, and the common factor for $a$ is $a^5$. The greatest common factor is $6y^3a^5$. Therefore, the answer is choice B.

Find the Greatest Common Factor of the Given Expressions 54y4a9,48y3a11 and 78y6a554 y ^ { 4 } a ^ { 9 } , 48 y ^ { 3 } a ^ { 11 } \text { and } 78 y ^ { 6 } a ^ { 5 }54y4a9,48y3a11 and 78y6a5

Find the Greatest Common Factor of the Given Expressions $54 y ^ { 4 } a ^ { 9 } , 48 y ^ { 3 } a ^ { 11 } \text { and } 78 y ^ { 6 } a ^ { 5 }$