Greatest Common Factor of 960 and 5606
GCF(960, 5606) = 2, Greatest common factor of 960 and 5606 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 960 and 5606. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 960 and 5606 by prime factorization method
We will first find the prime factorization of 960 and 5606.
Prime Factorization of 960 is 1, 2, 2, 2, 2, 2, 2, 3, 5 and Prime Factorization of 5606 is 1, 2, 2803.
- Factorize\( (960) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 2\times 3\times 5\)
- Factorize\( (5606) = \) \(1\times 2\times 2803\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(960, 5606) = 1\times 2 = 2\).
Greatest Common Factor of 960 and 5606 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 5606 leaving a remainder zero is 1, 2, 2803, 5606
As you can see, 2 is the greatest and common number that 960 and 5606 divides into.
So the greatest common factor 960 and 5606 is 2.
\(GCF(960, 5606) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
