Q:

What is the GCF of 27 and 87?

Accepted Solution

A:
Solution: The GCF of 27 and 87 is 3MethodsHow to find the GCF of 27 and 87 using Prime FactorizationOne way to find the GCF of 27 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 27?What are the Factors of 87?Here is the prime factorization of 27:333^333And 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 matching prime factors. You can now find the Greatest Common Factor of 27 and 87 by multiplying all the matching prime factors to get a GCF of 27 and 87 as 9:Thus, the GCF of 27 and 87 is: 9How to Find the GCF of 27 and 87 by Listing All Common FactorsThe first step to this method of finding the Greatest Common Factor of 27 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, 27 and 87:Factors of 27: 1, 3, 9, 27Factors of 87: 1, 3, 29, 87When you compare the two lists of factors, you can see that the common factor(s) are 1, 3. Since 3 is the largest of these common factors, the GCF of 27 and 87 would be 3.Find the GCF of Other Number PairsWant more practice? Try some of these other GCF problems:What is the GCF of 44 and 120?What is the GCF of 115 and 94?What is the GCF of 45 and 4?What is the GCF of 134 and 132?What is the GCF of 26 and 110?