Greatest Common Factor of 44 and 11388
GCF(44, 11388) = 4, Greatest common factor of 44 and 11388 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 44 and 11388. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 44 and 11388 by prime factorization method
We will first find the prime factorization of 44 and 11388.
Prime Factorization of 44 is 1, 2, 2, 11 and Prime Factorization of 11388 is 1, 2, 2, 3, 13, 73.
- Factorize\( (44) = \) \(1\times 2\times 2\times 11\)
- Factorize\( (11388) = \) \(1\times 2\times 2\times 3\times 13\times 73\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(44, 11388) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 44 and 11388 by matching factors method
List of positive integers factors of 44 leaving a remainder zero is 1, 2, 4, 11, 22, 44
List of positive integers factors of 11388 leaving a remainder zero is 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 73, 78, 146, 156, 219, 292, 438, 876, 949, 1898, 2847, 3796, 5694, 11388
As you can see, 4 is the greatest and common number that 44 and 11388 divides into.
So the greatest common factor 44 and 11388 is 4.
\(GCF(44, 11388) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
