Q:

What is the GCF of 71 and 87?

Accepted Solution

A:
Solution: The GCF of 71 and 87 is 1MethodsHow to find the GCF of 71 and 87 using Prime FactorizationOne way to find the GCF of 71 and 87 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 87?Here is the prime factorization of 71:71171^1711And this is the prime factorization of 87:31×2913^1 × 29^131×291When 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 87 is 1.Thus, the GCF of 71 and 87 is: 1How to Find the GCF of 71 and 87 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 71 and 87 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 87:Factors of 71: 1, 71Factors of 87: 1, 3, 29, 87When 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 87 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 117 and 44?What is the GCF of 58 and 98?What is the GCF of 122 and 49?What is the GCF of 131 and 59?What is the GCF of 13 and 133?