Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - 8-2 Multiplying and Factoring - Practice and Problem-Solving Exercises: 16

Answer

$2w$

Work Step by Step

In order to find the GCF of a set of terms, we list the prime factors of each of the terms, figure out which prime factors are shared by all of the terms, and then multiply the shared factors: The prime factors of $8w^2$ are $2\times2\times2\times w\times w$ The prime factors of $18w$ are $2\times3\times3\times w$ The common prime factors are $2\times w$, which equals $2w$, so this is the GCF of the terms.
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