Greatest Common Factor of 40 and 3459
GCF(40, 3459) = 1, Greatest common factor of 40 and 3459 is 1. 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 40 and 3459. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 40 and 3459 by prime factorization method
We will first find the prime factorization of 40 and 3459.
Prime Factorization of 40 is 1, 2, 2, 2, 5 and Prime Factorization of 3459 is 1, 3, 1153.
- Factorize\( (40) = \) \(1\times 2\times 2\times 2\times 5\)
- Factorize\( (3459) = \) \(1\times 3\times 1153\)
Now we need to find any which are common for each number (1, 1) and multiply these numbers together.
\(GCF(40, 3459) = 1\times 1 = 1\).
Greatest Common Factor of 40 and 3459 by matching factors method
List of positive integers factors of 40 leaving a remainder zero is 1, 2, 4, 5, 8, 10, 20, 40
List of positive integers factors of 3459 leaving a remainder zero is 1, 3, 1153, 3459
As you can see, 1 is the greatest and common number that 40 and 3459 divides into.
So the greatest common factor 40 and 3459 is 1.
\(GCF(40, 3459) = 1\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
