Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.1 Number Theory: Prime and Composite Numbers - Exercise Set 5.1 - Page 256: 54

Answer

Thus, the greatest common divisor of the two numbers is $2$.

Work Step by Step

Factor each number completely to have: $224=2(112)=2(2)(56)=2(2)(8)(7)=2(2)(2)(2)(2)(7) \\430=10(43)=2(5)(43)$ Thus, the greatest common divisor of the two numbers is $2$.
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