Greatest Common Factor of 24 and 4852
GCF(24, 4852) = 4, Greatest common factor of 24 and 4852 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 24 and 4852. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 24 and 4852 by prime factorization method
We will first find the prime factorization of 24 and 4852.
Prime Factorization of 24 is 1, 2, 2, 2, 3 and Prime Factorization of 4852 is 1, 2, 2, 1213.
- Factorize\( (24) = \) \(1\times 2\times 2\times 2\times 3\)
- Factorize\( (4852) = \) \(1\times 2\times 2\times 1213\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(24, 4852) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 24 and 4852 by matching factors method
List of positive integers factors of 24 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 12, 24
List of positive integers factors of 4852 leaving a remainder zero is 1, 2, 4, 1213, 2426, 4852
As you can see, 4 is the greatest and common number that 24 and 4852 divides into.
So the greatest common factor 24 and 4852 is 4.
\(GCF(24, 4852) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
