Greatest Common Factor of 236 and 472
GCF(236, 472) = 236, Greatest common factor of 236 and 472 is 236. 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 472. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 236 and 472 by prime factorization method
We will first find the prime factorization of 236 and 472.
Prime Factorization of 236 is 1, 2, 2, 59 and Prime Factorization of 472 is 1, 2, 2, 2, 59.
- Factorize\( (236) = \) \(1\times 2\times 2\times 59\)
- Factorize\( (472) = \) \(1\times 2\times 2\times 2\times 59\)
Now we need to find any which are common for each number (1, 2, 2, 59) and multiply these numbers together.
\(GCF(236, 472) = 1\times 2\times 2\times 59 = 236\).
Greatest Common Factor of 236 and 472 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 472 leaving a remainder zero is 1, 2, 4, 8, 59, 118, 236, 472
As you can see, 236 is the greatest and common number that 236 and 472 divides into.
So the greatest common factor 236 and 472 is 236.
\(GCF(236, 472) = 236\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
