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

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776 # Find the greatest common factor of the numbers.34, 85

The greatest common factor is 17.

See the 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. ### Want to see more solutions like these? 