Q:

What is the GCF of 143 and 66?

Accepted Solution

A:
Solution: The GCF of 143 and 66 is 11 Methods How to find the GCF of 143 and 66 using Prime Factorization One way to find the GCF of 143 and 66 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 143? What are the Factors of 66? Here is the prime factorization of 143: 1 1 1 × 1 3 1 11^1 × 13^1 1 1 1 × 1 3 1 And this is the prime factorization of 66: 2 1 × 3 1 × 1 1 1 2^1 × 3^1 × 11^1 2 1 × 3 1 × 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 143 and 66 by multiplying all the matching prime factors to get a GCF of 143 and 66 as 121: Thus, the GCF of 143 and 66 is: 121 How to Find the GCF of 143 and 66 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 143 and 66 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, 143 and 66: Factors of 143: 1, 11, 13, 143 Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66 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 143 and 66 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 68 and 140? What is the GCF of 120 and 124? What is the GCF of 70 and 3? What is the GCF of 42 and 35? What is the GCF of 67 and 81?