Q:

What is the GCF of 26 and 87?

Accepted Solution

A:
Solution: The GCF of 26 and 87 is 1MethodsHow to find the GCF of 26 and 87 using Prime FactorizationOne way to find the GCF of 26 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 26?What are the Factors of 87?Here is the prime factorization of 26:21×1312^1 × 13^121×131And 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 26 and 87 is 1.Thus, the GCF of 26 and 87 is: 1How to Find the GCF of 26 and 87 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 26 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, 26 and 87:Factors of 26: 1, 2, 13, 26Factors 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 26 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 97 and 13?What is the GCF of 128 and 49?What is the GCF of 35 and 115?What is the GCF of 7 and 55?What is the GCF of 33 and 47?