Greatest Common Factor of 48 and 8184
GCF(48, 8184) = 24, Greatest common factor of 48 and 8184 is 24. 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 48 and 8184. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 48 and 8184 by prime factorization method
We will first find the prime factorization of 48 and 8184.
Prime Factorization of 48 is 1, 2, 2, 2, 2, 3 and Prime Factorization of 8184 is 1, 2, 2, 2, 3, 11, 31.
- Factorize\( (48) = \) \(1\times 2\times 2\times 2\times 2\times 3\)
- Factorize\( (8184) = \) \(1\times 2\times 2\times 2\times 3\times 11\times 31\)
Now we need to find any which are common for each number (1, 2, 2, 2, 3) and multiply these numbers together.
\(GCF(48, 8184) = 1\times 2\times 2\times 2\times 3 = 24\).
Greatest Common Factor of 48 and 8184 by matching factors method
List of positive integers factors of 48 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
List of positive integers factors of 8184 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 31, 33, 44, 62, 66, 88, 93, 124, 132, 186, 248, 264, 341, 372, 682, 744, 1023, 1364, 2046, 2728, 4092, 8184
As you can see, 24 is the greatest and common number that 48 and 8184 divides into.
So the greatest common factor 48 and 8184 is 24.
\(GCF(48, 8184) = 24\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
