Chapter 1 - Some Basic Concepts of Arithmetic and Algebra - 1.2 - Prime and Composite Numbers - Problem Set 1.2 - Page 13: 66

$24$

Work Step by Step

Factor each number completely to obtain: $72 = 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \\96 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3$ Since three 2s are one 3 are common to both, the greatest common factor of the two given numbers is: $2 \cdot 2 \cdot 2 \cdot 3 = 24$

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