Q:

What is the GCF of 121 and 44?

Accepted Solution

A:
Solution: The GCF of 121 and 44 is 11 Methods How to find the GCF of 121 and 44 using Prime Factorization One way to find the GCF of 121 and 44 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 121? What are the Factors of 44? Here is the prime factorization of 121: 1 1 2 11^2 1 1 2 And this is the prime factorization of 44: 2 2 × 1 1 1 2^2 × 11^1 2 2 × 1 1 1 When 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 121 and 44 by multiplying all the matching prime factors to get a GCF of 121 and 44 as 121: Thus, the GCF of 121 and 44 is: 121 How to Find the GCF of 121 and 44 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 121 and 44 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, 121 and 44: Factors of 121: 1, 11, 121 Factors of 44: 1, 2, 4, 11, 22, 44 When you compare the two lists of factors, you can see that the common factor(s) are 1, 11. Since 11 is the largest of these common factors, the GCF of 121 and 44 would be 11. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 71 and 8? What is the GCF of 45 and 16? What is the GCF of 72 and 10? What is the GCF of 93 and 62? What is the GCF of 66 and 116?