Greatest Common Factor of 5 and 6595
GCF(5, 6595) = 5, Greatest common factor of 5 and 6595 is 5. 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 5 and 6595. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 5 and 6595 by prime factorization method
We will first find the prime factorization of 5 and 6595.
Prime Factorization of 5 is 1, 5 and Prime Factorization of 6595 is 1, 5, 1319.
- Factorize\( (5) = \) \(1\times 5\)
- Factorize\( (6595) = \) \(1\times 5\times 1319\)
Now we need to find any which are common for each number (1, 5) and multiply these numbers together.
\(GCF(5, 6595) = 1\times 5 = 5\).
Greatest Common Factor of 5 and 6595 by matching factors method
List of positive integers factors of 5 leaving a remainder zero is 1, 5
List of positive integers factors of 6595 leaving a remainder zero is 1, 5, 1319, 6595
As you can see, 5 is the greatest and common number that 5 and 6595 divides into.
So the greatest common factor 5 and 6595 is 5.
\(GCF(5, 6595) = 5\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
