What is the Greatest Common Factor of 24369 and 24384?

Greatest common factor (GCF) of 24369 and 24384 is 3.

GCF(24369,24384) = 3

We will now calculate the prime factors of 24369 and 24384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24369 and 24384.

How to find the GCF of 24369 and 24384?

We will first find the prime factorization of 24369 and 24384. After we will calculate the factors of 24369 and 24384 and find the biggest common factor number .

Step-1: Prime Factorization of 24369

Prime factors of 24369 are 3, 8123. Prime factorization of 24369 in exponential form is:

24369 = 3¹ × 8123¹

Step-2: 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-3: Factors of 24369

List of positive integer factors of 24369 that divides 24369 without a remainder.

1, 3, 8123

Step-4: Factors of 24384

List of positive integer factors of 24384 that divides 24369 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24369 and 24384. The biggest common factor number is the GCF number.
So the greatest common factor 24369 and 24384 is 3.

Also check out the Least Common Multiple of 24369 and 24384