What is the Greatest Common Factor of 12138 and 12149?

Greatest common factor (GCF) of 12138 and 12149 is 1.

GCF(12138,12149) = 1

We will now calculate the prime factors of 12138 and 12149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12138 and 12149.

How to find the GCF of 12138 and 12149?

We will first find the prime factorization of 12138 and 12149. After we will calculate the factors of 12138 and 12149 and find the biggest common factor number .

Step-1: Prime Factorization of 12138

Prime factors of 12138 are 2, 3, 7, 17. Prime factorization of 12138 in exponential form is:

12138 = 2¹ × 3¹ × 7¹ × 17²

Step-2: Prime Factorization of 12149

Prime factors of 12149 are 12149. Prime factorization of 12149 in exponential form is:

12149 = 12149¹

Step-3: Factors of 12138

List of positive integer factors of 12138 that divides 12138 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 289, 357, 578, 714, 867, 1734, 2023, 4046, 6069

Step-4: Factors of 12149

List of positive integer factors of 12149 that divides 12138 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12138 and 12149. The biggest common factor number is the GCF number.
So the greatest common factor 12138 and 12149 is 1.

Also check out the Least Common Multiple of 12138 and 12149