Greatest Common Factor of 80 and 11007
GCF(80, 11007) = 1, Greatest common factor of 80 and 11007 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 11007. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 80 and 11007 by prime factorization method
We will first find the prime factorization of 80 and 11007.
Prime Factorization of 80 is 1, 2, 2, 2, 2, 5 and Prime Factorization of 11007 is 1, 3, 3, 1223.
- Factorize\( (80) = \) \(1\times 2\times 2\times 2\times 2\times 5\)
- Factorize\( (11007) = \) \(1\times 3\times 3\times 1223\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(80, 11007) = 1\times 1 = 1\).
Greatest Common Factor of 80 and 11007 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 11007 leaving a remainder zero is 1, 3, 9, 1223, 3669, 11007
As you can see, 1 is the greatest and common number that 80 and 11007 divides into.
So the greatest common factor 80 and 11007 is 1.
\(GCF(80, 11007) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
