Greatest Common Factor of 80 and 6500
GCF(80, 6500) = 20, Greatest common factor of 80 and 6500 is 20. 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 6500. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 80 and 6500 by prime factorization method
We will first find the prime factorization of 80 and 6500.
Prime Factorization of 80 is 1, 2, 2, 2, 2, 5 and Prime Factorization of 6500 is 1, 2, 2, 5, 5, 5, 13.
- Factorize\( (80) = \) \(1\times 2\times 2\times 2\times 2\times 5\)
- Factorize\( (6500) = \) \(1\times 2\times 2\times 5\times 5\times 5\times 13\)
Now we need to find any which are common for each number (1, 2, 2, 5) and multiply these numbers together.
\(GCF(80, 6500) = 1\times 2\times 2\times 5 = 20\).
Greatest Common Factor of 80 and 6500 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 6500 leaving a remainder zero is 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 250, 260, 325, 500, 650, 1300, 1625, 3250, 6500
As you can see, 20 is the greatest and common number that 80 and 6500 divides into.
So the greatest common factor 80 and 6500 is 20.
\(GCF(80, 6500) = 20\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
