Greatest Common Factor of 148 and 11282
GCF(148, 11282) = 2, Greatest common factor of 148 and 11282 is 2. 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 11282. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 148 and 11282 by prime factorization method
We will first find the prime factorization of 148 and 11282.
Prime Factorization of 148 is 1, 2, 2, 37 and Prime Factorization of 11282 is 1, 2, 5641.
- Factorize\( (148) = \) \(1\times 2\times 2\times 37\)
- Factorize\( (11282) = \) \(1\times 2\times 5641\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(148, 11282) = 1\times 2 = 2\).
Greatest Common Factor of 148 and 11282 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 11282 leaving a remainder zero is 1, 2, 5641, 11282
As you can see, 2 is the greatest and common number that 148 and 11282 divides into.
So the greatest common factor 148 and 11282 is 2.
\(GCF(148, 11282) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
