What is the Greatest Common Factor of 12384 and 12404?

Greatest common factor (GCF) of 12384 and 12404 is 4.

GCF(12384,12404) = 4

We will now calculate the prime factors of 12384 and 12404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12384 and 12404.

How to find the GCF of 12384 and 12404?

We will first find the prime factorization of 12384 and 12404. After we will calculate the factors of 12384 and 12404 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 12404

Prime factors of 12404 are 2, 7, 443. Prime factorization of 12404 in exponential form is:

12404 = 2² × 7¹ × 443¹

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 12404

List of positive integer factors of 12404 that divides 12384 without a remainder.

1, 2, 4, 7, 14, 28, 443, 886, 1772, 3101, 6202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12384 and 12404. The biggest common factor number is the GCF number.
So the greatest common factor 12384 and 12404 is 4.

Also check out the Least Common Multiple of 12384 and 12404