Greatest Common Factor of 252 and 5933
GCF(252, 5933) = 1, Greatest common factor of 252 and 5933 is 1. 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 252 and 5933. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 252 and 5933 by prime factorization method
We will first find the prime factorization of 252 and 5933.
Prime Factorization of 252 is 1, 2, 2, 3, 3, 7 and Prime Factorization of 5933 is 1, 17, 349.
- Factorize\( (252) = \) \(1\times 2\times 2\times 3\times 3\times 7\)
- Factorize\( (5933) = \) \(1\times 17\times 349\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(252, 5933) = 1\times 1 = 1\).
Greatest Common Factor of 252 and 5933 by matching factors method
List of positive integers factors of 252 leaving a remainder zero is 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
List of positive integers factors of 5933 leaving a remainder zero is 1, 17, 349, 5933
As you can see, 1 is the greatest and common number that 252 and 5933 divides into.
So the greatest common factor 252 and 5933 is 1.
\(GCF(252, 5933) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
