Pre-Algebra, 2012
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34

 PAGE: 180 SET: Exercises PROBLEM: 34

Method 1:

List the factors of each number.

Factors of 115 : 5, 23, 115

Factors of 207 : 3 , 9, 23, 69 , 207

Identify the greatest common factor.

The greatest common factor of 115 and 207 is 23.

The GCF is 23. So, the numbers are not relatively prime.

Method 2:

Write the prime factorization of each  number.

115 =  5 × 23.

207 =  3 × 3 × 23.

The GCF is the product of the common prime factors in each number.

GCF = 23.

The greatest common factor of 115 and 207 is 23.

The GCF is 23. So, the numbers are not relatively prime.

The greatest common factor of 115 and 207 is 23.So, the numbers are not relatively prime.

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