What is the Greatest Common Factor of 12384 and 12396?

Greatest common factor (GCF) of 12384 and 12396 is 12.

GCF(12384,12396) = 12

We will now calculate the prime factors of 12384 and 12396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12384 and 12396.

How to find the GCF of 12384 and 12396?

We will first find the prime factorization of 12384 and 12396. After we will calculate the factors of 12384 and 12396 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12396

Prime factors of 12396 are 2, 3, 1033. Prime factorization of 12396 in exponential form is:

12396 = 2² × 3¹ × 1033¹

Step-3: Factors of 12384

List of positive integer factors of 12384 that divides 12384 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

Step-4: Factors of 12396

List of positive integer factors of 12396 that divides 12384 without a remainder.

1, 2, 3, 4, 6, 12, 1033, 2066, 3099, 4132, 6198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12384 and 12396. The biggest common factor number is the GCF number.
So the greatest common factor 12384 and 12396 is 12.

Also check out the Least Common Multiple of 12384 and 12396