Q:

What is the GCF of 118 and 97?

Accepted Solution

A:
Solution: The GCF of 118 and 97 is 1 Methods How to find the GCF of 118 and 97 using Prime Factorization One way to find the GCF of 118 and 97 is to compare the prime factorization of each number. To find the prime factorization, you can follow the instructions for each number here: What are the Factors of 118? What are the Factors of 97? Here is the prime factorization of 118: 2 1 × 5 9 1 2^1 × 59^1 2 1 × 5 9 1 And this is the prime factorization of 97: 9 7 1 97^1 9 7 1 When you compare the prime factorization of these two numbers, you can see that there are no matching prime factors. When this is the case, it means that there are no common factors between these two numbers. As a result, the GCF of 118 and 97 is 1. Thus, the GCF of 118 and 97 is: 1 How to Find the GCF of 118 and 97 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 118 and 97 is to find and list all the factors of each number. Again, you can see how this is done by looking at the “Factors of” articles that are linked to above. Let’s take a look at the factors for each of these numbers, 118 and 97: Factors of 118: 1, 2, 59, 118 Factors of 97: 1, 97 When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 118 and 97 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 29 and 73? What is the GCF of 26 and 65? What is the GCF of 36 and 110? What is the GCF of 43 and 28? What is the GCF of 120 and 92?