Q:

What is the GCF of 5 and 92?

Accepted Solution

A:
Solution: The GCF of 5 and 92 is 1MethodsHow to find the GCF of 5 and 92 using Prime FactorizationOne way to find the GCF of 5 and 92 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 5?What are the Factors of 92?Here is the prime factorization of 5:515^151And this is the prime factorization of 92:22×2312^2 × 23^122×231When 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 5 and 92 is 1.Thus, the GCF of 5 and 92 is: 1How to Find the GCF of 5 and 92 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 5 and 92 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, 5 and 92:Factors of 5: 1, 5Factors of 92: 1, 2, 4, 23, 46, 92When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 5 and 92 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 113 and 85?What is the GCF of 69 and 36?What is the GCF of 22 and 86?What is the GCF of 17 and 47?What is the GCF of 83 and 18?