What is the Greatest Common Factor of 24384 and 24396?

Greatest common factor (GCF) of 24384 and 24396 is 12.

GCF(24384,24396) = 12

We will now calculate the prime factors of 24384 and 24396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24384 and 24396.

How to find the GCF of 24384 and 24396?

We will first find the prime factorization of 24384 and 24396. After we will calculate the factors of 24384 and 24396 and find the biggest common factor number .

Step-1: Prime Factorization of 24384

Prime factors of 24384 are 2, 3, 127. Prime factorization of 24384 in exponential form is:

24384 = 2⁶ × 3¹ × 127¹

Step-2: Prime Factorization of 24396

Prime factors of 24396 are 2, 3, 19, 107. Prime factorization of 24396 in exponential form is:

24396 = 2² × 3¹ × 19¹ × 107¹

Step-3: Factors of 24384

List of positive integer factors of 24384 that divides 24384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 127, 192, 254, 381, 508, 762, 1016, 1524, 2032, 3048, 4064, 6096, 8128, 12192

Step-4: Factors of 24396

List of positive integer factors of 24396 that divides 24384 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 107, 114, 214, 228, 321, 428, 642, 1284, 2033, 4066, 6099, 8132, 12198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24384 and 24396. The biggest common factor number is the GCF number.
So the greatest common factor 24384 and 24396 is 12.

Also check out the Least Common Multiple of 24384 and 24396