Greatest Common Factor of 236 and 767
GCF(236, 767) = 59, Greatest common factor of 236 and 767 is 59. 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 767. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 236 and 767 by prime factorization method
We will first find the prime factorization of 236 and 767.
Prime Factorization of 236 is 1, 2, 2, 59 and Prime Factorization of 767 is 1, 13, 59.
- Factorize\( (236) = \) \(1\times 2\times 2\times 59\)
- Factorize\( (767) = \) \(1\times 13\times 59\)
Now we need to find any which are common for each number (1, 59) and multiply these numbers together.
\(GCF(236, 767) = 1\times 59 = 59\).
Greatest Common Factor of 236 and 767 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 767 leaving a remainder zero is 1, 13, 59, 767
As you can see, 59 is the greatest and common number that 236 and 767 divides into.
So the greatest common factor 236 and 767 is 59.
\(GCF(236, 767) = 59\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
