What is the Greatest Common Factor of 12369 and 12378?

Greatest common factor (GCF) of 12369 and 12378 is 3.

GCF(12369,12378) = 3

We will now calculate the prime factors of 12369 and 12378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12369 and 12378.

How to find the GCF of 12369 and 12378?

We will first find the prime factorization of 12369 and 12378. After we will calculate the factors of 12369 and 12378 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 12378

Prime factors of 12378 are 2, 3, 2063. Prime factorization of 12378 in exponential form is:

12378 = 2¹ × 3¹ × 2063¹

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 12378

List of positive integer factors of 12378 that divides 12369 without a remainder.

1, 2, 3, 6, 2063, 4126, 6189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12369 and 12378. The biggest common factor number is the GCF number.
So the greatest common factor 12369 and 12378 is 3.

Also check out the Least Common Multiple of 12369 and 12378