What is the Greatest Common Factor of 9065 and 9075?

Greatest common factor (GCF) of 9065 and 9075 is 5.

GCF(9065,9075) = 5

We will now calculate the prime factors of 9065 and 9075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9065 and 9075.

How to find the GCF of 9065 and 9075?

We will first find the prime factorization of 9065 and 9075. After we will calculate the factors of 9065 and 9075 and find the biggest common factor number .

Step-1: Prime Factorization of 9065

Prime factors of 9065 are 5, 7, 37. Prime factorization of 9065 in exponential form is:

9065 = 5¹ × 7² × 37¹

Step-2: 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-3: Factors of 9065

List of positive integer factors of 9065 that divides 9065 without a remainder.

1, 5, 7, 35, 37, 49, 185, 245, 259, 1295, 1813

Step-4: Factors of 9075

List of positive integer factors of 9075 that divides 9065 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9065 and 9075. The biggest common factor number is the GCF number.
So the greatest common factor 9065 and 9075 is 5.

Also check out the Least Common Multiple of 9065 and 9075