Q:

What is the GCF of 20 and 33?

Accepted Solution

A:
Solution: The GCF of 20 and 33 is 1 Methods How to find the GCF of 20 and 33 using Prime Factorization One way to find the GCF of 20 and 33 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 20? What are the Factors of 33? Here is the prime factorization of 20: 2 2 × 5 1 2^2 × 5^1 2 2 × 5 1 And this is the prime factorization of 33: 3 1 × 1 1 1 3^1 × 11^1 3 1 × 1 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 20 and 33 is 1. Thus, the GCF of 20 and 33 is: 1 How to Find the GCF of 20 and 33 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 20 and 33 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, 20 and 33: Factors of 20: 1, 2, 4, 5, 10, 20 Factors of 33: 1, 3, 11, 33 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 20 and 33 is 1. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 56 and 111? What is the GCF of 9 and 7? What is the GCF of 75 and 102? What is the GCF of 95 and 100? What is the GCF of 93 and 13?