What is the Greatest Common Factor of 12138 and 12157?

Greatest common factor (GCF) of 12138 and 12157 is 1.

GCF(12138,12157) = 1

We will now calculate the prime factors of 12138 and 12157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12138 and 12157.

How to find the GCF of 12138 and 12157?

We will first find the prime factorization of 12138 and 12157. After we will calculate the factors of 12138 and 12157 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 12157

Prime factors of 12157 are 12157. Prime factorization of 12157 in exponential form is:

12157 = 12157¹

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 12157

List of positive integer factors of 12157 that divides 12138 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12138 and 12157. The biggest common factor number is the GCF number.
So the greatest common factor 12138 and 12157 is 1.

Also check out the Least Common Multiple of 12138 and 12157