What is the Greatest Common Factor of 6136 and 6149?

Greatest common factor (GCF) of 6136 and 6149 is 13.

GCF(6136,6149) = 13

We will now calculate the prime factors of 6136 and 6149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6136 and 6149.

How to find the GCF of 6136 and 6149?

We will first find the prime factorization of 6136 and 6149. After we will calculate the factors of 6136 and 6149 and find the biggest common factor number .

Step-1: Prime Factorization of 6136

Prime factors of 6136 are 2, 13, 59. Prime factorization of 6136 in exponential form is:

6136 = 2³ × 13¹ × 59¹

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 6136

List of positive integer factors of 6136 that divides 6136 without a remainder.

1, 2, 4, 8, 13, 26, 52, 59, 104, 118, 236, 472, 767, 1534, 3068

Step-4: Factors of 6149

List of positive integer factors of 6149 that divides 6136 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6136 and 6149. The biggest common factor number is the GCF number.
So the greatest common factor 6136 and 6149 is 13.

Also check out the Least Common Multiple of 6136 and 6149