Q:

What is the GCF of 71 and 60?

Accepted Solution

A:
Solution: The GCF of 71 and 60 is 1 Methods How to find the GCF of 71 and 60 using Prime Factorization One way to find the GCF of 71 and 60 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 71? What are the Factors of 60? Here is the prime factorization of 71: 7 1 1 71^1 7 1 1 And this is the prime factorization of 60: 2 2 × 3 1 × 5 1 2^2 × 3^1 × 5^1 2 2 × 3 1 × 5 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 71 and 60 is 1. Thus, the GCF of 71 and 60 is: 1 How to Find the GCF of 71 and 60 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 71 and 60 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, 71 and 60: Factors of 71: 1, 71 Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 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 71 and 60 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 52 and 92? What is the GCF of 35 and 138? What is the GCF of 111 and 88? What is the GCF of 102 and 28? What is the GCF of 72 and 10?