Solution: The GCF of 3 and 116 is 1
Methods
How to find the GCF of 3 and 116 using Prime Factorization
One way to find the GCF of 3 and 116 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 3?
What are the Factors of 116?
Here is the prime factorization of 3:
3
1
3^1
3 1
And this is the prime factorization of 116:
2
2
×
2
9
1
2^2 × 29^1
2 2 × 2 9 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 3 and 116 is 1.
Thus, the GCF of 3 and 116 is: 1
How to Find the GCF of 3 and 116 by Listing All Common Factors
The first step to this method of finding the Greatest Common Factor of 3 and 116 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, 3 and 116:
Factors of 3: 1, 3
Factors of 116: 1, 2, 4, 29, 58, 116
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 3 and 116 is 1.
Find the GCF of Other Number Pairs
Want more practice? Try some of these other GCF problems:
What is the GCF of 15 and 98?
What is the GCF of 29 and 106?
What is the GCF of 80 and 81?
What is the GCF of 8 and 75?
What is the GCF of 100 and 86?