Greatest Common Factor of 140 and 3740
GCF(140, 3740) = 20, Greatest common factor of 140 and 3740 is 20. 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 140 and 3740. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 140 and 3740 by prime factorization method
We will first find the prime factorization of 140 and 3740.
Prime Factorization of 140 is 1, 2, 2, 5, 7 and Prime Factorization of 3740 is 1, 2, 2, 5, 11, 17.
- Factorize\( (140) = \) \(1\times 2\times 2\times 5\times 7\)
- Factorize\( (3740) = \) \(1\times 2\times 2\times 5\times 11\times 17\)
Now we need to find any which are common for each number (1, 2, 2, 5) and multiply these numbers together.
\(GCF(140, 3740) = 1\times 2\times 2\times 5 = 20\).
Greatest Common Factor of 140 and 3740 by matching factors method
List of positive integers factors of 140 leaving a remainder zero is 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
List of positive integers factors of 3740 leaving a remainder zero is 1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 340, 374, 748, 935, 1870, 3740
As you can see, 20 is the greatest and common number that 140 and 3740 divides into.
So the greatest common factor 140 and 3740 is 20.
\(GCF(140, 3740) = 20\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
