Greatest Common Factor of 92 and 7722
GCF(92, 7722) = 2, Greatest common factor of 92 and 7722 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 92 and 7722. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 92 and 7722 by prime factorization method
We will first find the prime factorization of 92 and 7722.
Prime Factorization of 92 is 1, 2, 2, 23 and Prime Factorization of 7722 is 1, 2, 3, 3, 3, 11, 13.
- Factorize\( (92) = \) \(1\times 2\times 2\times 23\)
- Factorize\( (7722) = \) \(1\times 2\times 3\times 3\times 3\times 11\times 13\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(92, 7722) = 1\times 2 = 2\).
Greatest Common Factor of 92 and 7722 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 7722 leaving a remainder zero is 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 99, 117, 143, 198, 234, 286, 297, 351, 429, 594, 702, 858, 1287, 2574, 3861, 7722
As you can see, 2 is the greatest and common number that 92 and 7722 divides into.
So the greatest common factor 92 and 7722 is 2.
\(GCF(92, 7722) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
