Find the greatest common factor of the monomials.
-$x ^ { 2 } y ^ { 7 } , x ^ { 3 } y ^ { 5 }$, and $x ^ { 4 } y ^ { 6 }$
A) $x ^ { 5 } y ^ { 2 }$
B) $x ^ { 2 } y ^ { 6 }$
C) $x ^ { 2 } y ^ { 5 }$
D) $x y$

Question

Quizplus · Accepted Answer

The greatest common factor (GCF) of the given monomials is determined by finding the lowest power of each variable that appears in all the monomials. For $x$, the lowest power is $x^2$, and for $y$, the lowest power is $y^5$. Therefore, the GCF is $x^2y^5$.

Find the Greatest Common Factor of the Monomials x2y7,x3y5x ^ { 2 } y ^ { 7 } , x ^ { 3 } y ^ { 5 }x2y7,x3y5

Find the Greatest Common Factor of the Monomials $x ^ { 2 } y ^ { 7 } , x ^ { 3 } y ^ { 5 }$