What is the Greatest Common Factor of 9075 and 9089?

Greatest common factor (GCF) of 9075 and 9089 is 1.

GCF(9075,9089) = 1

We will now calculate the prime factors of 9075 and 9089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9075 and 9089.

How to find the GCF of 9075 and 9089?

We will first find the prime factorization of 9075 and 9089. After we will calculate the factors of 9075 and 9089 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 9089

Prime factors of 9089 are 61, 149. Prime factorization of 9089 in exponential form is:

9089 = 61¹ × 149¹

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 9089

List of positive integer factors of 9089 that divides 9075 without a remainder.

1, 61, 149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9075 and 9089. The biggest common factor number is the GCF number.
So the greatest common factor 9075 and 9089 is 1.

Also check out the Least Common Multiple of 9075 and 9089