Greatest Common Factor of 116 and 1196
GCF(116, 1196) = 4, Greatest common factor of 116 and 1196 is 4. 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 1196. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 116 and 1196 by prime factorization method
We will first find the prime factorization of 116 and 1196.
Prime Factorization of 116 is 1, 2, 2, 29 and Prime Factorization of 1196 is 1, 2, 2, 13, 23.
- Factorize\( (116) = \) \(1\times 2\times 2\times 29\)
- Factorize\( (1196) = \) \(1\times 2\times 2\times 13\times 23\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(116, 1196) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 116 and 1196 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 1196 leaving a remainder zero is 1, 2, 4, 13, 23, 26, 46, 52, 92, 299, 598, 1196
As you can see, 4 is the greatest and common number that 116 and 1196 divides into.
So the greatest common factor 116 and 1196 is 4.
\(GCF(116, 1196) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
