Greatest Common Factor of 236 and 764
GCF(236, 764) = 4, Greatest common factor of 236 and 764 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 236 and 764. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 236 and 764 by prime factorization method
We will first find the prime factorization of 236 and 764.
Prime Factorization of 236 is 1, 2, 2, 59 and Prime Factorization of 764 is 1, 2, 2, 191.
- Factorize\( (236) = \) \(1\times 2\times 2\times 59\)
- Factorize\( (764) = \) \(1\times 2\times 2\times 191\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(236, 764) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 236 and 764 by matching factors method
List of positive integers factors of 236 leaving a remainder zero is 1, 2, 4, 59, 118, 236
List of positive integers factors of 764 leaving a remainder zero is 1, 2, 4, 191, 382, 764
As you can see, 4 is the greatest and common number that 236 and 764 divides into.
So the greatest common factor 236 and 764 is 4.
\(GCF(236, 764) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
