Greatest Common Factor of 968 and 2178
GCF(968, 2178) = 242, Greatest common factor of 968 and 2178 is 242. 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 968 and 2178. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 968 and 2178 by prime factorization method
We will first find the prime factorization of 968 and 2178.
Prime Factorization of 968 is 1, 2, 2, 2, 11, 11 and Prime Factorization of 2178 is 1, 2, 3, 3, 11, 11.
- Factorize\( (968) = \) \(1\times 2\times 2\times 2\times 11\times 11\)
- Factorize\( (2178) = \) \(1\times 2\times 3\times 3\times 11\times 11\)
Now we need to find any which are common for each number (1, 2, 11, 11) and multiply these numbers together.
\(GCF(968, 2178) = 1\times 2\times 11\times 11 = 242\).
Greatest Common Factor of 968 and 2178 by matching factors method
List of positive integers factors of 968 leaving a remainder zero is 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
List of positive integers factors of 2178 leaving a remainder zero is 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 121, 198, 242, 363, 726, 1089, 2178
As you can see, 242 is the greatest and common number that 968 and 2178 divides into.
So the greatest common factor 968 and 2178 is 242.
\(GCF(968, 2178) = 242\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
