Greatest Common Factor of 920 and 35
GCF(920, 35) = 5, Greatest common factor of 920 and 35 is 5. 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 920 and 35. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 920 and 35 by prime factorization method
We will first find the prime factorization of 920 and 35.
Prime Factorization of 920 is 1, 2, 2, 2, 5, 23 and Prime Factorization of 35 is 1, 5, 7.
- Factorize\( (920) = \) \(1\times 2\times 2\times 2\times 5\times 23\)
- Factorize\( (35) = \) \(1\times 5\times 7\)
Now we need to find any which are common for each number (1, 5) and multiply these numbers together.
\(GCF(920, 35) = 1\times 5 = 5\).
Greatest Common Factor of 920 and 35 by matching factors method
List of positive integers factors of 920 leaving a remainder zero is 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
List of positive integers factors of 35 leaving a remainder zero is 1, 5, 7, 35
As you can see, 5 is the greatest and common number that 920 and 35 divides into.
So the greatest common factor 920 and 35 is 5.
\(GCF(920, 35) = 5\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
