Q:

What is the GCF of 55 and 12?

Accepted Solution

A:
Solution: The GCF of 55 and 12 is 1 Methods How to find the GCF of 55 and 12 using Prime Factorization One way to find the GCF of 55 and 12 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 55? What are the Factors of 12? Here is the prime factorization of 55: 5 1 × 1 1 1 5^1 × 11^1 5 1 × 1 1 1 And this is the prime factorization of 12: 2 2 × 3 1 2^2 × 3^1 2 2 × 3 1 When 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 55 and 12 is 1. Thus, the GCF of 55 and 12 is: 1 How to Find the GCF of 55 and 12 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 55 and 12 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, 55 and 12: Factors of 55: 1, 5, 11, 55 Factors of 12: 1, 2, 3, 4, 6, 12 When you compare the two lists of factors, you can see that the only common factor is 1. So, in this case, the GCF of 55 and 12 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 9 and 143? What is the GCF of 77 and 33? What is the GCF of 41 and 53? What is the GCF of 59 and 119? What is the GCF of 8 and 134?