Greatest Common Factor of 164 and 5152
GCF(164, 5152) = 4, Greatest common factor of 164 and 5152 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 164 and 5152. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 164 and 5152 by prime factorization method
We will first find the prime factorization of 164 and 5152.
Prime Factorization of 164 is 1, 2, 2, 41 and Prime Factorization of 5152 is 1, 2, 2, 2, 2, 2, 7, 23.
- Factorize\( (164) = \) \(1\times 2\times 2\times 41\)
- Factorize\( (5152) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 7\times 23\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(164, 5152) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 164 and 5152 by matching factors method
List of positive integers factors of 164 leaving a remainder zero is 1, 2, 4, 41, 82, 164
List of positive integers factors of 5152 leaving a remainder zero is 1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 92, 112, 161, 184, 224, 322, 368, 644, 736, 1288, 2576, 5152
As you can see, 4 is the greatest and common number that 164 and 5152 divides into.
So the greatest common factor 164 and 5152 is 4.
\(GCF(164, 5152) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
