What is the Greatest Common Factor of 12369 and 12381?

Greatest common factor (GCF) of 12369 and 12381 is 3.

GCF(12369,12381) = 3

We will now calculate the prime factors of 12369 and 12381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12369 and 12381.

How to find the GCF of 12369 and 12381?

We will first find the prime factorization of 12369 and 12381. After we will calculate the factors of 12369 and 12381 and find the biggest common factor number .

Step-1: Prime Factorization of 12369

Prime factors of 12369 are 3, 7, 19, 31. Prime factorization of 12369 in exponential form is:

12369 = 3¹ × 7¹ × 19¹ × 31¹

Step-2: Prime Factorization of 12381

Prime factors of 12381 are 3, 4127. Prime factorization of 12381 in exponential form is:

12381 = 3¹ × 4127¹

Step-3: Factors of 12369

List of positive integer factors of 12369 that divides 12369 without a remainder.

1, 3, 7, 19, 21, 31, 57, 93, 133, 217, 399, 589, 651, 1767, 4123

Step-4: Factors of 12381

List of positive integer factors of 12381 that divides 12369 without a remainder.

1, 3, 4127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12369 and 12381. The biggest common factor number is the GCF number.
So the greatest common factor 12369 and 12381 is 3.

Also check out the Least Common Multiple of 12369 and 12381