What is the Greatest Common Factor of 3059 and 3078?

Greatest common factor (GCF) of 3059 and 3078 is 19.

GCF(3059,3078) = 19

We will now calculate the prime factors of 3059 and 3078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3059 and 3078.

How to find the GCF of 3059 and 3078?

We will first find the prime factorization of 3059 and 3078. After we will calculate the factors of 3059 and 3078 and find the biggest common factor number .

Step-1: Prime Factorization of 3059

Prime factors of 3059 are 7, 19, 23. Prime factorization of 3059 in exponential form is:

3059 = 7¹ × 19¹ × 23¹

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 3059

List of positive integer factors of 3059 that divides 3059 without a remainder.

1, 7, 19, 23, 133, 161, 437

Step-4: Factors of 3078

List of positive integer factors of 3078 that divides 3059 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 3059 and 3078. The biggest common factor number is the GCF number.
So the greatest common factor 3059 and 3078 is 19.

Also check out the Least Common Multiple of 3059 and 3078