Greatest Common Factor of 96 and 11578
GCF(96, 11578) = 2, Greatest common factor of 96 and 11578 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 96 and 11578. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 96 and 11578 by prime factorization method
We will first find the prime factorization of 96 and 11578.
Prime Factorization of 96 is 1, 2, 2, 2, 2, 2, 3 and Prime Factorization of 11578 is 1, 2, 7, 827.
- Factorize\( (96) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 3\)
- Factorize\( (11578) = \) \(1\times 2\times 7\times 827\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(96, 11578) = 1\times 2 = 2\).
Greatest Common Factor of 96 and 11578 by matching factors method
List of positive integers factors of 96 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
List of positive integers factors of 11578 leaving a remainder zero is 1, 2, 7, 14, 827, 1654, 5789, 11578
As you can see, 2 is the greatest and common number that 96 and 11578 divides into.
So the greatest common factor 96 and 11578 is 2.
\(GCF(96, 11578) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
