Q:

What is the GCF of 93 and 133?

Accepted Solution

A:
Solution: The GCF of 93 and 133 is 1 Methods How to find the GCF of 93 and 133 using Prime Factorization One way to find the GCF of 93 and 133 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 93? What are the Factors of 133? Here is the prime factorization of 93: 3 1 × 3 1 1 3^1 × 31^1 3 1 × 3 1 1 And this is the prime factorization of 133: 7 1 × 1 9 1 7^1 × 19^1 7 1 × 1 9 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 93 and 133 is 1. Thus, the GCF of 93 and 133 is: 1 How to Find the GCF of 93 and 133 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 93 and 133 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, 93 and 133: Factors of 93: 1, 3, 31, 93 Factors of 133: 1, 7, 19, 133 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 93 and 133 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 134 and 127? What is the GCF of 15 and 97? What is the GCF of 129 and 39? What is the GCF of 106 and 126? What is the GCF of 19 and 38?