Greatest Common Factor of 76 and 9025
GCF(76, 9025) = 19, Greatest common factor of 76 and 9025 is 19. 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 76 and 9025. Greatest Common Factor by prime factorization method and Greatest Common Factor by matching factors method.
Greatest Common Factor of 76 and 9025 by prime factorization method
We will first find the prime factorization of 76 and 9025.
Prime Factorization of 76 is 1, 2, 2, 19 and Prime Factorization of 9025 is 1, 5, 5, 19, 19.
- Factorize\( (76) = \) \(1\times 2\times 2\times 19\)
- Factorize\( (9025) = \) \(1\times 5\times 5\times 19\times 19\)
Now we need to find any which are common for each number (1, 19) and multiply these numbers together.
\(GCF(76, 9025) = 1\times 19 = 19\).
Greatest Common Factor of 76 and 9025 by matching factors method
List of positive integers factors of 76 leaving a remainder zero is 1, 2, 4, 19, 38, 76
List of positive integers factors of 9025 leaving a remainder zero is 1, 5, 19, 25, 95, 361, 475, 1805, 9025
As you can see, 19 is the greatest and common number that 76 and 9025 divides into.
So the greatest common factor 76 and 9025 is 19.
\(GCF(76, 9025) = 19\).
If you want to learn more about greatest common divisor, take a look at the Wikipedia page.
