What is the Greatest Common Factor of 3078 and 3082?

Greatest common factor (GCF) of 3078 and 3082 is 2.

GCF(3078,3082) = 2

We will now calculate the prime factors of 3078 and 3082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3078 and 3082.

How to find the GCF of 3078 and 3082?

We will first find the prime factorization of 3078 and 3082. After we will calculate the factors of 3078 and 3082 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 3082

Prime factors of 3082 are 2, 23, 67. Prime factorization of 3082 in exponential form is:

3082 = 2¹ × 23¹ × 67¹

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 3082

List of positive integer factors of 3082 that divides 3078 without a remainder.

1, 2, 23, 46, 67, 134, 1541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3078 and 3082. The biggest common factor number is the GCF number.
So the greatest common factor 3078 and 3082 is 2.

Also check out the Least Common Multiple of 3078 and 3082