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Q17.

Expert-verifiedFound in: Page 514

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 $\mathbf{6}\mathit{a}\mathit{b}$.

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

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

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 $6ab$.

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