Greatest Common Factor of 960 and 7134
GCF(960, 7134) = 6, Greatest common factor of 960 and 7134 is 6. 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 7134. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 960 and 7134 by prime factorization method
We will first find the prime factorization of 960 and 7134.
Prime Factorization of 960 is 1, 2, 2, 2, 2, 2, 2, 3, 5 and Prime Factorization of 7134 is 1, 2, 3, 29, 41.
- Factorize\( (960) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 2\times 3\times 5\)
- Factorize\( (7134) = \) \(1\times 2\times 3\times 29\times 41\)
Now we need to find any which are common for each number (1, 2, 3) and multiply these numbers together.
\(GCF(960, 7134) = 1\times 2\times 3 = 6\).
Greatest Common Factor of 960 and 7134 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 7134 leaving a remainder zero is 1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134
As you can see, 6 is the greatest and common number that 960 and 7134 divides into.
So the greatest common factor 960 and 7134 is 6.
\(GCF(960, 7134) = 6\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
