Greatest Common Factor of 92 and 10200
GCF(92, 10200) = 4, Greatest common factor of 92 and 10200 is 4. 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 10200. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 92 and 10200 by prime factorization method
We will first find the prime factorization of 92 and 10200.
Prime Factorization of 92 is 1, 2, 2, 23 and Prime Factorization of 10200 is 1, 2, 2, 2, 3, 5, 5, 17.
- Factorize\( (92) = \) \(1\times 2\times 2\times 23\)
- Factorize\( (10200) = \) \(1\times 2\times 2\times 2\times 3\times 5\times 5\times 17\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(92, 10200) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 92 and 10200 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 10200 leaving a remainder zero is 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 25, 30, 34, 40, 50, 51, 60, 68, 75, 85, 100, 102, 120, 136, 150, 170, 200, 204, 255, 300, 340, 408, 425, 510, 600, 680, 850, 1020, 1275, 1700, 2040, 2550, 3400, 5100, 10200
As you can see, 4 is the greatest and common number that 92 and 10200 divides into.
So the greatest common factor 92 and 10200 is 4.
\(GCF(92, 10200) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
