Greatest Common Factor of 152 and 10368
GCF(152, 10368) = 8, Greatest common factor of 152 and 10368 is 8. 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 152 and 10368. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 152 and 10368 by prime factorization method
We will first find the prime factorization of 152 and 10368.
Prime Factorization of 152 is 1, 2, 2, 2, 19 and Prime Factorization of 10368 is 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3.
- Factorize\( (152) = \) \(1\times 2\times 2\times 2\times 19\)
- Factorize\( (10368) = \) \(1\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 3\times 3\times 3\times 3\)
Now we need to find any which are common for each number (1, 2, 2, 2) and multiply these numbers together.
\(GCF(152, 10368) = 1\times 2\times 2\times 2 = 8\).
Greatest Common Factor of 152 and 10368 by matching factors method
List of positive integers factors of 152 leaving a remainder zero is 1, 2, 4, 8, 19, 38, 76, 152
List of positive integers factors of 10368 leaving a remainder zero is 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 128, 144, 162, 192, 216, 288, 324, 384, 432, 576, 648, 864, 1152, 1296, 1728, 2592, 3456, 5184, 10368
As you can see, 8 is the greatest and common number that 152 and 10368 divides into.
So the greatest common factor 152 and 10368 is 8.
\(GCF(152, 10368) = 8\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
