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Q14.

Expert-verified
Pre-algebra
Found in: Page 179
Pre-algebra

Pre-algebra

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.

34, 85

The greatest common factor is 17.

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 34 and 85.

The factors of 34 are: 34=2×17

The factors of 85 are: 85=5×17

Step-3 – State the conclusion

From the factorization it can be observed that 17 is common in both the numbers, therefore, the greatest common factor is 17.

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