## Related questions with answers

Question

Find the GCF of each group of monomials. x²y³ and

$x³y^5$

Solutions

VerifiedSolution A

Solution B

Answered 2 years ago

Step 1

1 of 2$\begin{align*} &x^2y^3=x^2\times y^3 \\ &x^3y^5=x^2\times x \times y^3 \times b\times y^2 \end{align*}$

So the GCF is $x^2y^3$

Step 1

1 of 2Write the prime factorization of each monomial:

$\begin{align*} x^2y^3&=\boxed{x\cdot x}\cdot \boxed{y\cdot y\cdot y}\\ x^3y^5&=\boxed{x\cdot x\cdot x} \cdot \boxed{y\cdot y\cdot y}\cdot y\cdot y \end{align*}$

The greatest common factor of the two monomials is:

$x\cdot x \cdot y\cdot y\cdot y =\color{#c34632}{x^2y^3}\color{white}{\tag{1}}$

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