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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 7: Q. 363 (page 898)

In the following exercises, find the greatest common factor.
$42, 60$

Short Answer

Expert verified

The greatest common factor is $6$ .

Step by step solution

01

Step 1. Given information

Numbers $42, 60$

02

Step 2. Find Prime factorization

$42 = 2 \times 3 \times 7 60 = 2 \times 2 \times 3 \times 5$

03

Step 3. Find common terms and multiply them

Multiplying all the prime factors common to both numbers:

$2 \times 3 = 6$

Therefore, GCF is $6$ .

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