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Chapter 4: Q14. (page 179)

Find the greatest common factor of the numbers.

34, 85

Short Answer

Expert verified

The greatest common factor is 17.

Step by step solution

01

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).

02

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

03

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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