Greatest Common Factor of 960 and 7296
GCF(960, 7296) = 192, Greatest common factor of 960 and 7296 is 192. 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 7296. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 960 and 7296 by prime factorization method
We will first find the prime factorization of 960 and 7296.
Prime Factorization of 960 is 1, 2, 2, 2, 2, 2, 2, 3, 5 and Prime Factorization of 7296 is 1, 2, 2, 2, 2, 2, 2, 2, 3, 19.
- Factorize\( (960) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 2\times 3\times 5\)
- Factorize\( (7296) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 3\times 19\)
Now we need to find any which are common for each number (1, 2, 2, 2, 2, 2, 2, 3) and multiply these numbers together.
\(GCF(960, 7296) = 1\times 2\times 2\times 2\times 2\times 2\times 2\times 3 = 192\).
Greatest Common Factor of 960 and 7296 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 7296 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 128, 152, 192, 228, 304, 384, 456, 608, 912, 1216, 1824, 2432, 3648, 7296
As you can see, 192 is the greatest and common number that 960 and 7296 divides into.
So the greatest common factor 960 and 7296 is 192.
\(GCF(960, 7296) = 192\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
