Find the greatest common factor of the monomials.
-$10 x ^ { 3 } y ^ { 6 } , 10 x ^ { 5 } y ^ { 5 }$, and $2 x ^ { 4 } y ^ { 4 }$
A) $5 x ^ { 5 } y ^ { 6 }$
B) $10 x ^ { 3 } y ^ { 4 }$
C) $2 x ^ { 4 } y ^ { 3 }$
D) $2 x ^ { 3 } y ^ { 4 }$

Question

Quizplus · Accepted Answer

The greatest common factor (GCF) of the given monomials is determined by finding the highest power of each common factor that divides each term. The GCF is $2 x^3 y^4$, as 2 is the highest common factor in the coefficients, $x^3$ is the highest power of $x$ that divides each term, and $y^4$ is the highest power of $y$ that divides each term.

Find the Greatest Common Factor of the Monomials 10x3y6,10x5y510 x ^ { 3 } y ^ { 6 } , 10 x ^ { 5 } y ^ { 5 }10x3y6,10x5y5

Find the Greatest Common Factor of the Monomials $10 x ^ { 3 } y ^ { 6 } , 10 x ^ { 5 } y ^ { 5 }$