Greatest Common Factor of 148 and 10030
GCF(148, 10030) = 2, Greatest common factor of 148 and 10030 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 10030. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 148 and 10030 by prime factorization method
We will first find the prime factorization of 148 and 10030.
Prime Factorization of 148 is 1, 2, 2, 37 and Prime Factorization of 10030 is 1, 2, 5, 17, 59.
- Factorize\( (148) = \) \(1\times 2\times 2\times 37\)
- Factorize\( (10030) = \) \(1\times 2\times 5\times 17\times 59\)
Now we need to find any which are common for each number (1, 2) and multiply these numbers together.
\(GCF(148, 10030) = 1\times 2 = 2\).
Greatest Common Factor of 148 and 10030 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 10030 leaving a remainder zero is 1, 2, 5, 10, 17, 34, 59, 85, 118, 170, 295, 590, 1003, 2006, 5015, 10030
As you can see, 2 is the greatest and common number that 148 and 10030 divides into.
So the greatest common factor 148 and 10030 is 2.
\(GCF(148, 10030) = 2\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
