What is the Greatest Common Factor of 6138 and 6149?

Greatest common factor (GCF) of 6138 and 6149 is 11.

GCF(6138,6149) = 11

We will now calculate the prime factors of 6138 and 6149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6138 and 6149.

How to find the GCF of 6138 and 6149?

We will first find the prime factorization of 6138 and 6149. After we will calculate the factors of 6138 and 6149 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 6149

Prime factors of 6149 are 11, 13, 43. Prime factorization of 6149 in exponential form is:

6149 = 11¹ × 13¹ × 43¹

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 6149

List of positive integer factors of 6149 that divides 6138 without a remainder.

1, 11, 13, 43, 143, 473, 559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6138 and 6149. The biggest common factor number is the GCF number.
So the greatest common factor 6138 and 6149 is 11.

Also check out the Least Common Multiple of 6138 and 6149