What is the Greatest Common Factor of 9075 and 9085?

Greatest common factor (GCF) of 9075 and 9085 is 5.

GCF(9075,9085) = 5

We will now calculate the prime factors of 9075 and 9085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9075 and 9085.

How to find the GCF of 9075 and 9085?

We will first find the prime factorization of 9075 and 9085. After we will calculate the factors of 9075 and 9085 and find the biggest common factor number .

Step-1: Prime Factorization of 9075

Prime factors of 9075 are 3, 5, 11. Prime factorization of 9075 in exponential form is:

9075 = 3¹ × 5² × 11²

Step-2: Prime Factorization of 9085

Prime factors of 9085 are 5, 23, 79. Prime factorization of 9085 in exponential form is:

9085 = 5¹ × 23¹ × 79¹

Step-3: Factors of 9075

List of positive integer factors of 9075 that divides 9075 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 121, 165, 275, 363, 605, 825, 1815, 3025

Step-4: Factors of 9085

List of positive integer factors of 9085 that divides 9075 without a remainder.

1, 5, 23, 79, 115, 395, 1817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9075 and 9085. The biggest common factor number is the GCF number.
So the greatest common factor 9075 and 9085 is 5.

Also check out the Least Common Multiple of 9075 and 9085