Greatest Common Factor of 248 and 5704
GCF(248, 5704) = 248, Greatest common factor of 248 and 5704 is 248. 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 248 and 5704. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 248 and 5704 by prime factorization method
We will first find the prime factorization of 248 and 5704.
Prime Factorization of 248 is 1, 2, 2, 2, 31 and Prime Factorization of 5704 is 1, 2, 2, 2, 23, 31.
- Factorize\( (248) = \) \(1\times 2\times 2\times 2\times 31\)
- Factorize\( (5704) = \) \(1\times 2\times 2\times 2\times 23\times 31\)
Now we need to find any which are common for each number (1, 2, 2, 2, 31) and multiply these numbers together.
\(GCF(248, 5704) = 1\times 2\times 2\times 2\times 31 = 248\).
Greatest Common Factor of 248 and 5704 by matching factors method
List of positive integers factors of 248 leaving a remainder zero is 1, 2, 4, 8, 31, 62, 124, 248
List of positive integers factors of 5704 leaving a remainder zero is 1, 2, 4, 8, 23, 31, 46, 62, 92, 124, 184, 248, 713, 1426, 2852, 5704
As you can see, 248 is the greatest and common number that 248 and 5704 divides into.
So the greatest common factor 248 and 5704 is 248.
\(GCF(248, 5704) = 248\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
