Solution: The GCF of 53 and 139 is 1
Methods
How to find the GCF of 53 and 139 using Prime Factorization
One way to find the GCF of 53 and 139 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 53?
What are the Factors of 139?
Here is the prime factorization of 53:
5
3
1
53^1
5 3 1
And this is the prime factorization of 139:
13
9
1
139^1
13 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 53 and 139 is 1.
Thus, the GCF of 53 and 139 is: 1
How to Find the GCF of 53 and 139 by Listing All Common Factors
The first step to this method of finding the Greatest Common Factor of 53 and 139 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, 53 and 139:
Factors of 53: 1, 53
Factors of 139: 1, 139
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 53 and 139 is 1.
Find the GCF of Other Number Pairs
Want more practice? Try some of these other GCF problems:
What is the GCF of 4 and 76?
What is the GCF of 81 and 17?
What is the GCF of 112 and 108?
What is the GCF of 16 and 132?
What is the GCF of 68 and 56?