Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 1 - Some Basic Concepts of Arithmetic and Algebra - 1.2 - Prime and Composite Numbers - Problem Set 1.2: 69

Answer

$12$

Work Step by Step

Factor each number completely to obtain: $84 = 2 \cdot 2 \cdot 3 \cdot 7 \\96 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3$ Since two 2s and one 3 are common to both, the greatest common factor of the two given numbers is: $2 \cdot 2 \cdot 3 = 12$
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