Greatest Common Factor of 960 and 5577
GCF(960, 5577) = 3, Greatest common factor of 960 and 5577 is 3. 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 960 and 5577. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 960 and 5577 by prime factorization method
We will first find the prime factorization of 960 and 5577.
Prime Factorization of 960 is 1, 2, 2, 2, 2, 2, 2, 3, 5 and Prime Factorization of 5577 is 1, 3, 11, 13, 13.
- Factorize\( (960) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 2\times 3\times 5\)
- Factorize\( (5577) = \) \(1\times 3\times 11\times 13\times 13\)
Now we need to find any which are common for each number (1, 3) and multiply these numbers together.
\(GCF(960, 5577) = 1\times 3 = 3\).
Greatest Common Factor of 960 and 5577 by matching factors method
List of positive integers factors of 960 leaving a remainder zero is 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
List of positive integers factors of 5577 leaving a remainder zero is 1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859, 5577
As you can see, 3 is the greatest and common number that 960 and 5577 divides into.
So the greatest common factor 960 and 5577 is 3.
\(GCF(960, 5577) = 3\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
