Greatest Common Factor of 92 and 10695
GCF(92, 10695) = 23, Greatest common factor of 92 and 10695 is 23. 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 92 and 10695. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 92 and 10695 by prime factorization method
We will first find the prime factorization of 92 and 10695.
Prime Factorization of 92 is 1, 2, 2, 23 and Prime Factorization of 10695 is 1, 3, 5, 23, 31.
- Factorize\( (92) = \) \(1\times 2\times 2\times 23\)
- Factorize\( (10695) = \) \(1\times 3\times 5\times 23\times 31\)
Now we need to find any which are common for each number (1, 23) and multiply these numbers together.
\(GCF(92, 10695) = 1\times 23 = 23\).
Greatest Common Factor of 92 and 10695 by matching factors method
List of positive integers factors of 92 leaving a remainder zero is 1, 2, 4, 23, 46, 92
List of positive integers factors of 10695 leaving a remainder zero is 1, 3, 5, 15, 23, 31, 69, 93, 115, 155, 345, 465, 713, 2139, 3565, 10695
As you can see, 23 is the greatest and common number that 92 and 10695 divides into.
So the greatest common factor 92 and 10695 is 23.
\(GCF(92, 10695) = 23\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
