What is the Greatest Common Factor of 12375 and 12384?

Greatest common factor (GCF) of 12375 and 12384 is 9.

GCF(12375,12384) = 9

We will now calculate the prime factors of 12375 and 12384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12375 and 12384.

How to find the GCF of 12375 and 12384?

We will first find the prime factorization of 12375 and 12384. After we will calculate the factors of 12375 and 12384 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 12384

Prime factors of 12384 are 2, 3, 43. Prime factorization of 12384 in exponential form is:

12384 = 2⁵ × 3² × 43¹

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 12384

List of positive integer factors of 12384 that divides 12375 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 43, 48, 72, 86, 96, 129, 144, 172, 258, 288, 344, 387, 516, 688, 774, 1032, 1376, 1548, 2064, 3096, 4128, 6192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12375 and 12384. The biggest common factor number is the GCF number.
So the greatest common factor 12375 and 12384 is 9.

Also check out the Least Common Multiple of 12375 and 12384