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: 74

Answer

$16$

Work Step by Step

Factor each number completely to have: $32 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \\80 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 5 \\96= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3$ Since four 2s are common to both, the greatest common factor of the given numbers is: $2 \cdot 2\cdot 2\cdot 2 = 16$
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