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Q17.

Expert-verified

Pre-algebra

Found in: Page 179

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Find the greatest common factor of the numbers.
54, 89

The greatest common factor is 1.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step-1 – Define greatest common factor

A common factor is a whole number that is a factor of two or more nonzero whole numbers. The greatest of the common factors is the greatest common factor (GCF).

Step-2 – Factor the numbers

Factor both the numbers 54 and 89.

The factors of 54 are: $54 = 1 \times 2 \times 3 \times 3 \times 3$

The factors of 89 are: $89 = 1 \times 89$

Step-3 – State the conclusion

There are no common prime factors. However, two numbers always have 1 as a common factor. So, the GCF is 1, and the numbers are relatively prime.

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