Q:

What is the GCF of 58 and 4?

Accepted Solution

A:
Solution: The GCF of 58 and 4 is 2 Methods How to find the GCF of 58 and 4 using Prime Factorization One way to find the GCF of 58 and 4 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 58? What are the Factors of 4? Here is the prime factorization of 58: 2 1 × 2 9 1 2^1 × 29^1 2 1 × 2 9 1 And this is the prime factorization of 4: 2 2 2^2 2 2 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 58 and 4 by multiplying all the matching prime factors to get a GCF of 58 and 4 as 4: Thus, the GCF of 58 and 4 is: 4 How to Find the GCF of 58 and 4 by Listing All Common Factors The first step to this method of finding the Greatest Common Factor of 58 and 4 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, 58 and 4: Factors of 58: 1, 2, 29, 58 Factors of 4: 1, 2, 4 When you compare the two lists of factors, you can see that the common factor(s) are 1, 2. Since 2 is the largest of these common factors, the GCF of 58 and 4 would be 2. Find the GCF of Other Number Pairs Want more practice? Try some of these other GCF problems: What is the GCF of 25 and 105? What is the GCF of 80 and 123? What is the GCF of 51 and 57? What is the GCF of 1 and 43? What is the GCF of 95 and 29?