Greatest Common Factor of 144 and 10373
GCF(144, 10373) = 1, Greatest common factor of 144 and 10373 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 144 and 10373. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 144 and 10373 by prime factorization method
We will first find the prime factorization of 144 and 10373.
Prime Factorization of 144 is 1, 2, 2, 2, 2, 3, 3 and Prime Factorization of 10373 is 1, 11, 23, 41.
- Factorize\( (144) = \) \(1\times 2\times 2\times 2\times 2\times 3\times 3\)
- Factorize\( (10373) = \) \(1\times 11\times 23\times 41\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(144, 10373) = 1\times 1 = 1\).
Greatest Common Factor of 144 and 10373 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 10373 leaving a remainder zero is 1, 11, 23, 41, 253, 451, 943, 10373
As you can see, 1 is the greatest and common number that 144 and 10373 divides into.
So the greatest common factor 144 and 10373 is 1.
\(GCF(144, 10373) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
