Q:

What is the GCF of 32 and 5?

Accepted Solution

A:
Solution: The GCF of 32 and 5 is 1MethodsHow to find the GCF of 32 and 5 using Prime FactorizationOne way to find the GCF of 32 and 5 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 32?What are the Factors of 5?Here is the prime factorization of 32:252^525And this is the prime factorization of 5:515^151When 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 32 and 5 is 1.Thus, the GCF of 32 and 5 is: 1How to Find the GCF of 32 and 5 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 32 and 5 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, 32 and 5:Factors of 32: 1, 2, 4, 8, 16, 32Factors of 5: 1, 5When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 32 and 5 is 1.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 82 and 21?What is the GCF of 14 and 37?What is the GCF of 73 and 45?What is the GCF of 98 and 80?What is the GCF of 58 and 7?