Greatest Common Factor of 156 and 10140
GCF(156, 10140) = 156, Greatest common factor of 156 and 10140 is 156. 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 156 and 10140. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 156 and 10140 by prime factorization method
We will first find the prime factorization of 156 and 10140.
Prime Factorization of 156 is 1, 2, 2, 3, 13 and Prime Factorization of 10140 is 1, 2, 2, 3, 5, 13, 13.
- Factorize\( (156) = \) \(1\times 2\times 2\times 3\times 13\)
- Factorize\( (10140) = \) \(1\times 2\times 2\times 3\times 5\times 13\times 13\)
Now we need to find any which are common for each number (1, 2, 2, 3, 13) and multiply these numbers together.
\(GCF(156, 10140) = 1\times 2\times 2\times 3\times 13 = 156\).
Greatest Common Factor of 156 and 10140 by matching factors method
List of positive integers factors of 156 leaving a remainder zero is 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
List of positive integers factors of 10140 leaving a remainder zero is 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 169, 195, 260, 338, 390, 507, 676, 780, 845, 1014, 1690, 2028, 2535, 3380, 5070, 10140
As you can see, 156 is the greatest and common number that 156 and 10140 divides into.
So the greatest common factor 156 and 10140 is 156.
\(GCF(156, 10140) = 156\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
