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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

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=1×2×3×3×3

The factors of 89 are: 89=1×89

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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