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Expert-verified Found in: Page 514 ### Algebra 1

Book edition Student Edition
Author(s) Carter, Cuevas, Day, Holiday, Luchin
Pages 801 pages
ISBN 9780078884801 # Find the greatest common factor of each set of monomials.$6ab,24a{b}^{4}$

The greatest common factor of the given set of monomials is $\mathbf{6}\mathbit{a}\mathbit{b}$.

See the step by step solution

## Step 1. Find the factorization of 6ab and 24ab4.

Find the factorization of $6ab$ and $24a{b}^{4}$.

$6ab=2\cdot 3\cdot a\cdot b\phantom{\rule{0ex}{0ex}}24a{b}^{4}=2\cdot 2\cdot 2\cdot 3\cdot a\cdot b\cdot b\cdot b\cdot b$

## Step 2. Find the greatest common factor of 6ab and 24ab4.

From the factorization of $6ab$ and $24a{b}^{4}$, it can be noticed that the greatest common factor of $6ab$ and $24a{b}^{4}$ is $2\cdot 3\cdot a\cdot b$ or $6ab$.

Therefore, the greatest common factor of the given set of monomials is $6ab$. ### Want to see more solutions like these? 