Greatest Common Factor of 976 and 1562
GCF(976, 1562) = 2, Greatest common factor of 976 and 1562 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 1562. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 976 and 1562 by prime factorization method
We will first find the prime factorization of 976 and 1562.
Prime Factorization of 976 is 1, 2, 2, 2, 2, 61 and Prime Factorization of 1562 is 1, 2, 11, 71.
- Factorize\( (976) = \) \(1\times 2\times 2\times 2\times 2\times 61\)
- Factorize\( (1562) = \) \(1\times 2\times 11\times 71\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(976, 1562) = 1\times 2 = 2\).
Greatest Common Factor of 976 and 1562 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 1562 leaving a remainder zero is 1, 2, 11, 22, 71, 142, 781, 1562
As you can see, 2 is the greatest and common number that 976 and 1562 divides into.
So the greatest common factor 976 and 1562 is 2.
\(GCF(976, 1562) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
