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 - Concept Quiz 1.2 - Page 12: 6

Answer

True

Work Step by Step

The prime factored form of 36 is: $36=2\times2\times3\times3$ The prime factored form of 64 is: $64=2\times2\times2\times2\times2\times2$ Since two 2s are common to both, the greatest common factor of 36 and 64 is $2\times2=4$. Therefore, the question statement is true.
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