Q:

What is the GCF of 74 and 47?

Accepted Solution

A:
Solution: The GCF of 74 and 47 is 1 Methods How to find the GCF of 74 and 47 using Prime Factorization One way to find the GCF of 74 and 47 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 74? What are the Factors of 47? Here is the prime factorization of 74: 2 1 × 3 7 1 2^1 × 37^1 2 1 × 3 7 1 And this is the prime factorization of 47: 4 7 1 47^1 4 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 74 and 47 is 1. Thus, the GCF of 74 and 47 is: 1 How to Find the GCF of 74 and 47 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 74 and 47 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, 74 and 47: Factors of 74: 1, 2, 37, 74 Factors of 47: 1, 47 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 74 and 47 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 83 and 139? What is the GCF of 129 and 140? What is the GCF of 104 and 112? What is the GCF of 84 and 34? What is the GCF of 80 and 150?