What is the Greatest Common Factor of 3066 and 3075?

Greatest common factor (GCF) of 3066 and 3075 is 3.

GCF(3066,3075) = 3

We will now calculate the prime factors of 3066 and 3075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3066 and 3075.

How to find the GCF of 3066 and 3075?

We will first find the prime factorization of 3066 and 3075. After we will calculate the factors of 3066 and 3075 and find the biggest common factor number .

Step-1: Prime Factorization of 3066

Prime factors of 3066 are 2, 3, 7, 73. Prime factorization of 3066 in exponential form is:

3066 = 2¹ × 3¹ × 7¹ × 73¹

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 3066

List of positive integer factors of 3066 that divides 3066 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1533

Step-4: Factors of 3075

List of positive integer factors of 3075 that divides 3066 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 3066 and 3075. The biggest common factor number is the GCF number.
So the greatest common factor 3066 and 3075 is 3.

Also check out the Least Common Multiple of 3066 and 3075