Greatest Common Factor of 148 and 11316
GCF(148, 11316) = 4, Greatest common factor of 148 and 11316 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 148 and 11316. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 148 and 11316 by prime factorization method
We will first find the prime factorization of 148 and 11316.
Prime Factorization of 148 is 1, 2, 2, 37 and Prime Factorization of 11316 is 1, 2, 2, 3, 23, 41.
- Factorize\( (148) = \) \(1\times 2\times 2\times 37\)
- Factorize\( (11316) = \) \(1\times 2\times 2\times 3\times 23\times 41\)
Now we need to find any which are common for each number (1, 2, 2) and multiply these numbers together.
\(GCF(148, 11316) = 1\times 2\times 2 = 4\).
Greatest Common Factor of 148 and 11316 by matching factors method
List of positive integers factors of 148 leaving a remainder zero is 1, 2, 4, 37, 74, 148
List of positive integers factors of 11316 leaving a remainder zero is 1, 2, 3, 4, 6, 12, 23, 41, 46, 69, 82, 92, 123, 138, 164, 246, 276, 492, 943, 1886, 2829, 3772, 5658, 11316
As you can see, 4 is the greatest and common number that 148 and 11316 divides into.
So the greatest common factor 148 and 11316 is 4.
\(GCF(148, 11316) = 4\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
