Greatest Common Factor of 248 and 3644
GCF(248, 3644) = 4, Greatest common factor of 248 and 3644 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 248 and 3644. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 248 and 3644 by prime factorization method
We will first find the prime factorization of 248 and 3644.
Prime Factorization of 248 is 1, 2, 2, 2, 31 and Prime Factorization of 3644 is 1, 2, 2, 911.
- Factorize\( (248) = \) \(1\times 2\times 2\times 2\times 31\)
- Factorize\( (3644) = \) \(1\times 2\times 2\times 911\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(248, 3644) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 248 and 3644 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 3644 leaving a remainder zero is 1, 2, 4, 911, 1822, 3644
As you can see, 4 is the greatest and common number that 248 and 3644 divides into.
So the greatest common factor 248 and 3644 is 4.
\(GCF(248, 3644) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
