Greatest Common Factor of 116 and 1624
GCF(116, 1624) = 116, Greatest common factor of 116 and 1624 is 116. 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 1624. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 116 and 1624 by prime factorization method
We will first find the prime factorization of 116 and 1624.
Prime Factorization of 116 is 1, 2, 2, 29 and Prime Factorization of 1624 is 1, 2, 2, 2, 7, 29.
- Factorize\( (116) = \) \(1\times 2\times 2\times 29\)
- Factorize\( (1624) = \) \(1\times 2\times 2\times 2\times 7\times 29\)
Now we need to find any which are common for each number (1, 2, 2, 29) and multiply these numbers together.
\(GCF(116, 1624) = 1\times 2\times 2\times 29 = 116\).
Greatest Common Factor of 116 and 1624 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 1624 leaving a remainder zero is 1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 203, 232, 406, 812, 1624
As you can see, 116 is the greatest and common number that 116 and 1624 divides into.
So the greatest common factor 116 and 1624 is 116.
\(GCF(116, 1624) = 116\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
