Greatest Common Factor of 492 and 1722
GCF(492, 1722) = 246, Greatest common factor of 492 and 1722 is 246. 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 492 and 1722. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 492 and 1722 by prime factorization method
We will first find the prime factorization of 492 and 1722.
Prime Factorization of 492 is 1, 2, 2, 3, 41 and Prime Factorization of 1722 is 1, 2, 3, 7, 41.
- Factorize\( (492) = \) \(1\times 2\times 2\times 3\times 41\)
- Factorize\( (1722) = \) \(1\times 2\times 3\times 7\times 41\)
Now we need to find any which are common for each number (1, 2, 3, 41) and multiply these numbers together.
\(GCF(492, 1722) = 1\times 2\times 3\times 41 = 246\).
Greatest Common Factor of 492 and 1722 by matching factors method
List of positive integers factors of 492 leaving a remainder zero is 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
List of positive integers factors of 1722 leaving a remainder zero is 1, 2, 3, 6, 7, 14, 21, 41, 42, 82, 123, 246, 287, 574, 861, 1722
As you can see, 246 is the greatest and common number that 492 and 1722 divides into.
So the greatest common factor 492 and 1722 is 246.
\(GCF(492, 1722) = 246\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
