What is the Greatest Common Factor of 3075 and 3090?

Greatest common factor (GCF) of 3075 and 3090 is 15.

GCF(3075,3090) = 15

We will now calculate the prime factors of 3075 and 3090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3075 and 3090.

How to find the GCF of 3075 and 3090?

We will first find the prime factorization of 3075 and 3090. After we will calculate the factors of 3075 and 3090 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3090

Prime factors of 3090 are 2, 3, 5, 103. Prime factorization of 3090 in exponential form is:

3090 = 2¹ × 3¹ × 5¹ × 103¹

Step-3: Factors of 3075

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

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

Step-4: Factors of 3090

List of positive integer factors of 3090 that divides 3075 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 103, 206, 309, 515, 618, 1030, 1545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3075 and 3090. The biggest common factor number is the GCF number.
So the greatest common factor 3075 and 3090 is 15.

Also check out the Least Common Multiple of 3075 and 3090