What is the Greatest Common Factor of 9085 and 9090?

Greatest common factor (GCF) of 9085 and 9090 is 5.

GCF(9085,9090) = 5

We will now calculate the prime factors of 9085 and 9090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9085 and 9090.

How to find the GCF of 9085 and 9090?

We will first find the prime factorization of 9085 and 9090. After we will calculate the factors of 9085 and 9090 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9090

Prime factors of 9090 are 2, 3, 5, 101. Prime factorization of 9090 in exponential form is:

9090 = 2¹ × 3² × 5¹ × 101¹

Step-3: Factors of 9085

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

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

Step-4: Factors of 9090

List of positive integer factors of 9090 that divides 9085 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 101, 202, 303, 505, 606, 909, 1010, 1515, 1818, 3030, 4545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9085 and 9090. The biggest common factor number is the GCF number.
So the greatest common factor 9085 and 9090 is 5.

Also check out the Least Common Multiple of 9085 and 9090