What is the Greatest Common Factor of 9075 and 9082?

Greatest common factor (GCF) of 9075 and 9082 is 1.

GCF(9075,9082) = 1

We will now calculate the prime factors of 9075 and 9082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9075 and 9082.

How to find the GCF of 9075 and 9082?

We will first find the prime factorization of 9075 and 9082. After we will calculate the factors of 9075 and 9082 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 9082

Prime factors of 9082 are 2, 19, 239. Prime factorization of 9082 in exponential form is:

9082 = 2¹ × 19¹ × 239¹

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 9082

List of positive integer factors of 9082 that divides 9075 without a remainder.

1, 2, 19, 38, 239, 478, 4541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9075 and 9082. The biggest common factor number is the GCF number.
So the greatest common factor 9075 and 9082 is 1.

Also check out the Least Common Multiple of 9075 and 9082