Greatest Common Factor of 960 and 8160
GCF(960, 8160) = 480, Greatest common factor of 960 and 8160 is 480. 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 8160. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 960 and 8160 by prime factorization method
We will first find the prime factorization of 960 and 8160.
Prime Factorization of 960 is 1, 2, 2, 2, 2, 2, 2, 3, 5 and Prime Factorization of 8160 is 1, 2, 2, 2, 2, 2, 3, 5, 17.
- Factorize\( (960) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 2\times 3\times 5\)
- Factorize\( (8160) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 3\times 5\times 17\)
Now we need to find any which are common for each number (1, 2, 2, 2, 2, 2, 3, 5) and multiply these numbers together.
\(GCF(960, 8160) = 1\times 2\times 2\times 2\times 2\times 2\times 3\times 5 = 480\).
Greatest Common Factor of 960 and 8160 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 8160 leaving a remainder zero is 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, 34, 40, 48, 51, 60, 68, 80, 85, 96, 102, 120, 136, 160, 170, 204, 240, 255, 272, 340, 408, 480, 510, 544, 680, 816, 1020, 1360, 1632, 2040, 2720, 4080, 8160
As you can see, 480 is the greatest and common number that 960 and 8160 divides into.
So the greatest common factor 960 and 8160 is 480.
\(GCF(960, 8160) = 480\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
