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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脳17

The factors of 85 are: 85=5脳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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Most popular questions from this chapter

Find the relationship between the resulting quotients when you divide two numbers by their greatest common factor.

Find the greatest common factor of the numbers.

12, 36

Write the power, the base and the exponent in the expression 93.

Explain why 34 is a composite number.

Write all the factors of the number.

45
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