# Chapter 5 - Number Theory and the Real Number System - 5.1 Number Theory: Prime and Composite Numbers - Exercise Set 5.1 - Page 256: 45

$14$

#### Work Step by Step

Factor each number completely to obtain: $42 = 6(7) = 2(3)(7) \\56=8(7) = 2(2)(2)(7)$ Notice that the one factor of $2$ and one factor of $7$ is common to both factorization. Thus, the greatest common factor is $2(7) = 14$. Therefore, the greatest common divisor is also $14$.

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