Q:

What is the GCF of 37 and 6?

Accepted Solution

A:
Solution: The GCF of 37 and 6 is 1 Methods How to find the GCF of 37 and 6 using Prime Factorization One way to find the GCF of 37 and 6 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 37? What are the Factors of 6? Here is the prime factorization of 37: 3 7 1 37^1 3 7 1 And this is the prime factorization of 6: 2 1 × 3 1 2^1 × 3^1 2 1 × 3 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 37 and 6 is 1. Thus, the GCF of 37 and 6 is: 1 How to Find the GCF of 37 and 6 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 37 and 6 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, 37 and 6: Factors of 37: 1, 37 Factors of 6: 1, 2, 3, 6 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 37 and 6 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 65 and 139? What is the GCF of 104 and 90? What is the GCF of 8 and 43? What is the GCF of 92 and 33? What is the GCF of 38 and 69?