What is the Greatest Common Factor of 6138 and 6156?

Greatest common factor (GCF) of 6138 and 6156 is 18.

GCF(6138,6156) = 18

We will now calculate the prime factors of 6138 and 6156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6138 and 6156.

How to find the GCF of 6138 and 6156?

We will first find the prime factorization of 6138 and 6156. After we will calculate the factors of 6138 and 6156 and find the biggest common factor number .

Step-1: Prime Factorization of 6138

Prime factors of 6138 are 2, 3, 11, 31. Prime factorization of 6138 in exponential form is:

6138 = 2¹ × 3² × 11¹ × 31¹

Step-2: Prime Factorization of 6156

Prime factors of 6156 are 2, 3, 19. Prime factorization of 6156 in exponential form is:

6156 = 2² × 3⁴ × 19¹

Step-3: Factors of 6138

List of positive integer factors of 6138 that divides 6138 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 31, 33, 62, 66, 93, 99, 186, 198, 279, 341, 558, 682, 1023, 2046, 3069

Step-4: Factors of 6156

List of positive integer factors of 6156 that divides 6138 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 81, 108, 114, 162, 171, 228, 324, 342, 513, 684, 1026, 1539, 2052, 3078

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6138 and 6156. The biggest common factor number is the GCF number.
So the greatest common factor 6138 and 6156 is 18.

Also check out the Least Common Multiple of 6138 and 6156