What is the Greatest Common Factor of 12375 and 12381?

Greatest common factor (GCF) of 12375 and 12381 is 3.

GCF(12375,12381) = 3

We will now calculate the prime factors of 12375 and 12381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12375 and 12381.

How to find the GCF of 12375 and 12381?

We will first find the prime factorization of 12375 and 12381. After we will calculate the factors of 12375 and 12381 and find the biggest common factor number .

Step-1: Prime Factorization of 12375

Prime factors of 12375 are 3, 5, 11. Prime factorization of 12375 in exponential form is:

12375 = 3² × 5³ × 11¹

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 12375

List of positive integer factors of 12375 that divides 12375 without a remainder.

1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 125, 165, 225, 275, 375, 495, 825, 1125, 1375, 2475, 4125

Step-4: Factors of 12381

List of positive integer factors of 12381 that divides 12375 without a remainder.

1, 3, 4127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12375 and 12381. The biggest common factor number is the GCF number.
So the greatest common factor 12375 and 12381 is 3.

Also check out the Least Common Multiple of 12375 and 12381