Greatest Common Factor of 80 and 11432
GCF(80, 11432) = 8, Greatest common factor of 80 and 11432 is 8. 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 11432. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 80 and 11432 by prime factorization method
We will first find the prime factorization of 80 and 11432.
Prime Factorization of 80 is 1, 2, 2, 2, 2, 5 and Prime Factorization of 11432 is 1, 2, 2, 2, 1429.
- Factorize\( (80) = \) \(1\times 2\times 2\times 2\times 2\times 5\)
- Factorize\( (11432) = \) \(1\times 2\times 2\times 2\times 1429\)
Now we need to find any which are common for each number (1, 2, 2, 2) and multiply these numbers together.
\(GCF(80, 11432) = 1\times 2\times 2\times 2 = 8\).
Greatest Common Factor of 80 and 11432 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 11432 leaving a remainder zero is 1, 2, 4, 8, 1429, 2858, 5716, 11432
As you can see, 8 is the greatest and common number that 80 and 11432 divides into.
So the greatest common factor 80 and 11432 is 8.
\(GCF(80, 11432) = 8\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
