What is the Greatest Common Factor of 3078 and 3084?

Greatest common factor (GCF) of 3078 and 3084 is 6.

GCF(3078,3084) = 6

We will now calculate the prime factors of 3078 and 3084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3078 and 3084.

How to find the GCF of 3078 and 3084?

We will first find the prime factorization of 3078 and 3084. After we will calculate the factors of 3078 and 3084 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3084

Prime factors of 3084 are 2, 3, 257. Prime factorization of 3084 in exponential form is:

3084 = 2² × 3¹ × 257¹

Step-3: Factors of 3078

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

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

Step-4: Factors of 3084

List of positive integer factors of 3084 that divides 3078 without a remainder.

1, 2, 3, 4, 6, 12, 257, 514, 771, 1028, 1542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3078 and 3084. The biggest common factor number is the GCF number.
So the greatest common factor 3078 and 3084 is 6.

Also check out the Least Common Multiple of 3078 and 3084