What is the Greatest Common Factor of 3078 and 3093?

Greatest common factor (GCF) of 3078 and 3093 is 3.

GCF(3078,3093) = 3

We will now calculate the prime factors of 3078 and 3093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3078 and 3093.

How to find the GCF of 3078 and 3093?

We will first find the prime factorization of 3078 and 3093. After we will calculate the factors of 3078 and 3093 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 3093

Prime factors of 3093 are 3, 1031. Prime factorization of 3093 in exponential form is:

3093 = 3¹ × 1031¹

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 3093

List of positive integer factors of 3093 that divides 3078 without a remainder.

1, 3, 1031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3078 and 3093. The biggest common factor number is the GCF number.
So the greatest common factor 3078 and 3093 is 3.

Also check out the Least Common Multiple of 3078 and 3093