Greatest Common Factor of 144 and 6102
GCF(144, 6102) = 18, Greatest common factor of 144 and 6102 is 18. 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 144 and 6102. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 144 and 6102 by prime factorization method
We will first find the prime factorization of 144 and 6102.
Prime Factorization of 144 is 1, 2, 2, 2, 2, 3, 3 and Prime Factorization of 6102 is 1, 2, 3, 3, 3, 113.
- Factorize\( (144) = \) \(1\times 2\times 2\times 2\times 2\times 3\times 3\)
- Factorize\( (6102) = \) \(1\times 2\times 3\times 3\times 3\times 113\)
Now we need to find any which are common for each number (1, 2, 3, 3) and multiply these numbers together.
\(GCF(144, 6102) = 1\times 2\times 3\times 3 = 18\).
Greatest Common Factor of 144 and 6102 by matching factors method
List of positive integers factors of 144 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
List of positive integers factors of 6102 leaving a remainder zero is 1, 2, 3, 6, 9, 18, 27, 54, 113, 226, 339, 678, 1017, 2034, 3051, 6102
As you can see, 18 is the greatest and common number that 144 and 6102 divides into.
So the greatest common factor 144 and 6102 is 18.
\(GCF(144, 6102) = 18\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
