What is the Greatest Common Factor of 3060 and 3075?

Greatest common factor (GCF) of 3060 and 3075 is 15.

GCF(3060,3075) = 15

We will now calculate the prime factors of 3060 and 3075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3060 and 3075.

How to find the GCF of 3060 and 3075?

We will first find the prime factorization of 3060 and 3075. After we will calculate the factors of 3060 and 3075 and find the biggest common factor number .

Step-1: Prime Factorization of 3060

Prime factors of 3060 are 2, 3, 5, 17. Prime factorization of 3060 in exponential form is:

3060 = 2² × 3² × 5¹ × 17¹

Step-2: Prime Factorization of 3075

Prime factors of 3075 are 3, 5, 41. Prime factorization of 3075 in exponential form is:

3075 = 3¹ × 5² × 41¹

Step-3: Factors of 3060

List of positive integer factors of 3060 that divides 3060 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 306, 340, 510, 612, 765, 1020, 1530

Step-4: Factors of 3075

List of positive integer factors of 3075 that divides 3060 without a remainder.

1, 3, 5, 15, 25, 41, 75, 123, 205, 615, 1025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3060 and 3075. The biggest common factor number is the GCF number.
So the greatest common factor 3060 and 3075 is 15.

Also check out the Least Common Multiple of 3060 and 3075