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Q18.

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.**

$10ab,30a,40{a}^{2}b$

The greatest common factor of the given set of monomials is $10a$.

Find the factorization of $10ab$,$30a$ and $40{a}^{2}b$.

$10ab=2\cdot 5\cdot a\cdot b\phantom{\rule{0ex}{0ex}}30a=2\cdot 3\cdot 5\cdot a\phantom{\rule{0ex}{0ex}}40{a}^{2}b=2\cdot 2\cdot 2\cdot 5\cdot a\cdot a\cdot b$

From the factorization of $10ab,30a$ and $40{a}^{2}b$, it can be noticed that the greatest common factor of $10ab,30a$, and $40{a}^{2}b$ is $2\cdot 5\cdot a$ or $10a$.

Therefore, the greatest common factor of the given set of monomials is $10a$.

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