What is the Greatest Common Factor of 3060 and 3078?

Greatest common factor (GCF) of 3060 and 3078 is 18.

GCF(3060,3078) = 18

We will now calculate the prime factors of 3060 and 3078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3060 and 3078.

How to find the GCF of 3060 and 3078?

We will first find the prime factorization of 3060 and 3078. After we will calculate the factors of 3060 and 3078 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 3078

Prime factors of 3078 are 2, 3, 19. Prime factorization of 3078 in exponential form is:

3078 = 2¹ × 3⁴ × 19¹

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 3078

List of positive integer factors of 3078 that divides 3060 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 342, 513, 1026, 1539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3060 and 3078. The biggest common factor number is the GCF number.
So the greatest common factor 3060 and 3078 is 18.

Also check out the Least Common Multiple of 3060 and 3078