Greatest Common Factor of 988 and 446
GCF(988, 446) = 2, Greatest common factor of 988 and 446 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 988 and 446. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 988 and 446 by prime factorization method
We will first find the prime factorization of 988 and 446.
Prime Factorization of 988 is 1, 2, 2, 13, 19 and Prime Factorization of 446 is 1, 2, 223.
- Factorize\( (988) = \) \(1\times 2\times 2\times 13\times 19\)
- Factorize\( (446) = \) \(1\times 2\times 223\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(988, 446) = 1\times 2 = 2\).
Greatest Common Factor of 988 and 446 by matching factors method
List of positive integers factors of 988 leaving a remainder zero is 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
List of positive integers factors of 446 leaving a remainder zero is 1, 2, 223, 446
As you can see, 2 is the greatest and common number that 988 and 446 divides into.
So the greatest common factor 988 and 446 is 2.
\(GCF(988, 446) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
