Greatest Common Factor of 976 and 2514
GCF(976, 2514) = 2, Greatest common factor of 976 and 2514 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 976 and 2514. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 976 and 2514 by prime factorization method
We will first find the prime factorization of 976 and 2514.
Prime Factorization of 976 is 1, 2, 2, 2, 2, 61 and Prime Factorization of 2514 is 1, 2, 3, 419.
- Factorize\( (976) = \) \(1\times 2\times 2\times 2\times 2\times 61\)
- Factorize\( (2514) = \) \(1\times 2\times 3\times 419\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(976, 2514) = 1\times 2 = 2\).
Greatest Common Factor of 976 and 2514 by matching factors method
List of positive integers factors of 976 leaving a remainder zero is 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
List of positive integers factors of 2514 leaving a remainder zero is 1, 2, 3, 6, 419, 838, 1257, 2514
As you can see, 2 is the greatest and common number that 976 and 2514 divides into.
So the greatest common factor 976 and 2514 is 2.
\(GCF(976, 2514) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
