Q:

What is the GCF of 22 and 41?

Accepted Solution

A:
Solution: The GCF of 22 and 41 is 1 Methods How to find the GCF of 22 and 41 using Prime Factorization One way to find the GCF of 22 and 41 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 22? What are the Factors of 41? Here is the prime factorization of 22: 2 1 × 1 1 1 2^1 × 11^1 2 1 × 1 1 1 And this is the prime factorization of 41: 4 1 1 41^1 4 1 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 22 and 41 is 1. Thus, the GCF of 22 and 41 is: 1 How to Find the GCF of 22 and 41 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 22 and 41 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, 22 and 41: Factors of 22: 1, 2, 11, 22 Factors of 41: 1, 41 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 22 and 41 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 99 and 122? What is the GCF of 92 and 85? What is the GCF of 36 and 114? What is the GCF of 110 and 87? What is the GCF of 147 and 30?