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Chapter 4: Q. 20 (page 179)

Find the greatest common factor of the numbers. Then tell whether the numbers are relatively prime.

9, 26

Short Answer

Expert verified

The numbers are relatively prime.

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).

Two or more numbers are relatively prime if their greatest common factor is 1.

02

Step 2. Factor the numbers

Factor both the numbers 9 and 26.

The factors of 9 are: 9=3脳3

The factors of 26 are:26=2脳13

03

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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Most popular questions from this chapter

Tell whether the number is prime or composite.

10

Find the product. (p. 756)

910脳50

Find the GCF. Also, Find whether the numbers are relatively prime or not : 121,280

Tell whether the number is prime or composite.

16

Tell whether the number is prime or composite.

18
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