Q:

What is the GCF of 88 and 143?

Accepted Solution

A:
Solution: The GCF of 88 and 143 is 11 Methods How to find the GCF of 88 and 143 using Prime Factorization One way to find the GCF of 88 and 143 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 88? What are the Factors of 143? Here is the prime factorization of 88: 2 3 × 1 1 1 2^3 × 11^1 2 3 × 1 1 1 And this is the prime factorization of 143: 1 1 1 × 1 3 1 11^1 × 13^1 1 1 1 × 1 3 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 88 and 143 by multiplying all the matching prime factors to get a GCF of 88 and 143 as 121: Thus, the GCF of 88 and 143 is: 121 How to Find the GCF of 88 and 143 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 88 and 143 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, 88 and 143: Factors of 88: 1, 2, 4, 8, 11, 22, 44, 88 Factors of 143: 1, 11, 13, 143 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 88 and 143 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 138 and 136? What is the GCF of 132 and 39? What is the GCF of 61 and 108? What is the GCF of 131 and 71? What is the GCF of 66 and 124?