Q:

What is the GCF of 32 and 86?

Accepted Solution

A:
Solution: The GCF of 32 and 86 is 2MethodsHow to find the GCF of 32 and 86 using Prime FactorizationOne way to find the GCF of 32 and 86 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 86?Here is the prime factorization of 32:252^525And this is the prime factorization of 86:21×4312^1 × 43^121×431When you compare the prime factorization of these two numbers, you can see that there are matching prime factors. You can now find the Greatest Common Factor of 32 and 86 by multiplying all the matching prime factors to get a GCF of 32 and 86 as 4:Thus, the GCF of 32 and 86 is: 4How to Find the GCF of 32 and 86 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 32 and 86 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 86:Factors of 32: 1, 2, 4, 8, 16, 32Factors of 86: 1, 2, 43, 86When you compare the two lists of factors, you can see that the common factor(s) are 1, 2. Since 2 is the largest of these common factors, the GCF of 32 and 86 would be 2.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 89 and 118?What is the GCF of 91 and 114?What is the GCF of 36 and 47?What is the GCF of 86 and 45?What is the GCF of 18 and 124?