Greatest Common Factor of 116 and 6714
GCF(116, 6714) = 2, Greatest common factor of 116 and 6714 is 2. 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 116 and 6714. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 116 and 6714 by prime factorization method
We will first find the prime factorization of 116 and 6714.
Prime Factorization of 116 is 1, 2, 2, 29 and Prime Factorization of 6714 is 1, 2, 3, 3, 373.
- Factorize\( (116) = \) \(1\times 2\times 2\times 29\)
- Factorize\( (6714) = \) \(1\times 2\times 3\times 3\times 373\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(116, 6714) = 1\times 2 = 2\).
Greatest Common Factor of 116 and 6714 by matching factors method
List of positive integers factors of 116 leaving a remainder zero is 1, 2, 4, 29, 58, 116
List of positive integers factors of 6714 leaving a remainder zero is 1, 2, 3, 6, 9, 18, 373, 746, 1119, 2238, 3357, 6714
As you can see, 2 is the greatest and common number that 116 and 6714 divides into.
So the greatest common factor 116 and 6714 is 2.
\(GCF(116, 6714) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
