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: 55

Answer

The greatest common divisor of the two numbers is $15$.

Work Step by Step

Factor each number completely to have: $240=10(24)=2(5)(2)(2)(2)(3) \\285=5(57)=5(3)(19)$ Thus, the greatest common divisor of the two numbers is $3(5)=15$.
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