Greatest Common Factor of 96 and 6353
GCF(96, 6353) = 1, Greatest common factor of 96 and 6353 is 1. 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 6353. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 96 and 6353 by prime factorization method
We will first find the prime factorization of 96 and 6353.
Prime Factorization of 96 is 1, 2, 2, 2, 2, 2, 3 and Prime Factorization of 6353 is 1, 6353.
- Factorize\( (96) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 3\)
- Factorize\( (6353) = \) \(1\times 6353\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(96, 6353) = 1\times 1 = 1\).
Greatest Common Factor of 96 and 6353 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 6353 leaving a remainder zero is 1, 6353
As you can see, 1 is the greatest and common number that 96 and 6353 divides into.
So the greatest common factor 96 and 6353 is 1.
\(GCF(96, 6353) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
