Greatest Common Factor of 244 and 3898

GCF(244, 3898) = 2, Greatest common factor of 244 and 3898 is 2. 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 244 and 3898. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.

Greatest Common Factor of 244 and 3898 by prime factorization method

We will first find the prime factorization of 244 and 3898.
Prime Factorization of 244 is 1, 2, 2, 61 and Prime Factorization of 3898 is 1, 2, 1949.

  • Factorize\( (244) = \) \(1\times 2\times 2\times 61\)
  • Factorize\( (3898) = \) \(1\times 2\times 1949\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(244, 3898) = 1\times 2 = 2\).

Greatest Common Factor of 244 and 3898 by matching factors method

List of positive integers factors of 244 leaving a remainder zero is 1, 2, 4, 61, 122, 244
List of positive integers factors of 3898 leaving a remainder zero is 1, 2, 1949, 3898
As you can see, 2 is the greatest and common number that 244 and 3898 divides into.
So the greatest common factor 244 and 3898 is 2.
\(GCF(244, 3898) = 2\).

If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
Greatest common factor of:
 ,