Greatest Common Factor of 548 and 822
GCF(548, 822) = 274, Greatest common factor of 548 and 822 is 274. 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 548 and 822. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 548 and 822 by prime factorization method
We will first find the prime factorization of 548 and 822.
Prime Factorization of 548 is 1, 2, 2, 137 and Prime Factorization of 822 is 1, 2, 3, 137.
- Factorize\( (548) = \) \(1\times 2\times 2\times 137\)
- Factorize\( (822) = \) \(1\times 2\times 3\times 137\)
Now we need to find any which are common for each number (1, 2, 137) and multiply these numbers together.
\(GCF(548, 822) = 1\times 2\times 137 = 274\).
Greatest Common Factor of 548 and 822 by matching factors method
List of positive integers factors of 548 leaving a remainder zero is 1, 2, 4, 137, 274, 548
List of positive integers factors of 822 leaving a remainder zero is 1, 2, 3, 6, 137, 274, 411, 822
As you can see, 274 is the greatest and common number that 548 and 822 divides into.
So the greatest common factor 548 and 822 is 274.
\(GCF(548, 822) = 274\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
