Greatest Common Factor of 44 and 209
GCF(44, 209) = 11, Greatest common factor of 44 and 209 is 11. 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 209. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 44 and 209 by prime factorization method
We will first find the prime factorization of 44 and 209.
Prime Factorization of 44 is 1, 2, 2, 11 and Prime Factorization of 209 is 1, 11, 19.
- Factorize\( (44) = \) \(1\times 2\times 2\times 11\)
- Factorize\( (209) = \) \(1\times 11\times 19\)
Now we need to find any which are common for each number (1, 11) and multiply these numbers together.
\(GCF(44, 209) = 1\times 11 = 11\).
Greatest Common Factor of 44 and 209 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 209 leaving a remainder zero is 1, 11, 19, 209
As you can see, 11 is the greatest and common number that 44 and 209 divides into.
So the greatest common factor 44 and 209 is 11.
\(GCF(44, 209) = 11\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
