Greatest Common Factor of 984 and 2952
GCF(984, 2952) = 984, Greatest common factor of 984 and 2952 is 984. 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 984 and 2952. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 984 and 2952 by prime factorization method
We will first find the prime factorization of 984 and 2952.
Prime Factorization of 984 is 1, 2, 2, 2, 3, 41 and Prime Factorization of 2952 is 1, 2, 2, 2, 3, 3, 41.
- Factorize\( (984) = \) \(1\times 2\times 2\times 2\times 3\times 41\)
- Factorize\( (2952) = \) \(1\times 2\times 2\times 2\times 3\times 3\times 41\)
Now we need to find any which are common for each number (1, 2, 2, 2, 3, 41) and multiply these numbers together.
\(GCF(984, 2952) = 1\times 2\times 2\times 2\times 3\times 41 = 984\).
Greatest Common Factor of 984 and 2952 by matching factors method
List of positive integers factors of 984 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
List of positive integers factors of 2952 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 41, 72, 82, 123, 164, 246, 328, 369, 492, 738, 984, 1476, 2952
As you can see, 984 is the greatest and common number that 984 and 2952 divides into.
So the greatest common factor 984 and 2952 is 984.
\(GCF(984, 2952) = 984\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
