Greatest Common Factor of 80 and 5259
GCF(80, 5259) = 1, Greatest common factor of 80 and 5259 is 1. Greatest Common Factor or Greatest Common Divisor of two numbers is the largest integer by which both the numbers can be divided. There are two different methods to calculate Greatest Common Factor of 80 and 5259. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 80 and 5259 by prime factorization method
We will first find the prime factorization of 80 and 5259.
Prime Factorization of 80 is 1, 2, 2, 2, 2, 5 and Prime Factorization of 5259 is 1, 3, 1753.
- Factorize\( (80) = \) \(1\times 2\times 2\times 2\times 2\times 5\)
- Factorize\( (5259) = \) \(1\times 3\times 1753\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(80, 5259) = 1\times 1 = 1\).
Greatest Common Factor of 80 and 5259 by matching factors method
List of positive integers factors of 80 leaving a remainder zero is 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
List of positive integers factors of 5259 leaving a remainder zero is 1, 3, 1753, 5259
As you can see, 1 is the greatest and common number that 80 and 5259 divides into.
So the greatest common factor 80 and 5259 is 1.
\(GCF(80, 5259) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
