Greatest Common Factor of 96 and 10150
GCF(96, 10150) = 2, Greatest common factor of 96 and 10150 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 10150. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 96 and 10150 by prime factorization method
We will first find the prime factorization of 96 and 10150.
Prime Factorization of 96 is 1, 2, 2, 2, 2, 2, 3 and Prime Factorization of 10150 is 1, 2, 5, 5, 7, 29.
- Factorize\( (96) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 3\)
- Factorize\( (10150) = \) \(1\times 2\times 5\times 5\times 7\times 29\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(96, 10150) = 1\times 2 = 2\).
Greatest Common Factor of 96 and 10150 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 10150 leaving a remainder zero is 1, 2, 5, 7, 10, 14, 25, 29, 35, 50, 58, 70, 145, 175, 203, 290, 350, 406, 725, 1015, 1450, 2030, 5075, 10150
As you can see, 2 is the greatest and common number that 96 and 10150 divides into.
So the greatest common factor 96 and 10150 is 2.
\(GCF(96, 10150) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
