What is the Greatest Common Factor of 24321 and 24336?

Greatest common factor (GCF) of 24321 and 24336 is 3.

GCF(24321,24336) = 3

We will now calculate the prime factors of 24321 and 24336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24321 and 24336.

How to find the GCF of 24321 and 24336?

We will first find the prime factorization of 24321 and 24336. After we will calculate the factors of 24321 and 24336 and find the biggest common factor number .

Step-1: Prime Factorization of 24321

Prime factors of 24321 are 3, 11, 67. Prime factorization of 24321 in exponential form is:

24321 = 3¹ × 11² × 67¹

Step-2: Prime Factorization of 24336

Prime factors of 24336 are 2, 3, 13. Prime factorization of 24336 in exponential form is:

24336 = 2⁴ × 3² × 13²

Step-3: Factors of 24321

List of positive integer factors of 24321 that divides 24321 without a remainder.

1, 3, 11, 33, 67, 121, 201, 363, 737, 2211, 8107

Step-4: Factors of 24336

List of positive integer factors of 24336 that divides 24321 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 169, 208, 234, 312, 338, 468, 507, 624, 676, 936, 1014, 1352, 1521, 1872, 2028, 2704, 3042, 4056, 6084, 8112, 12168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24321 and 24336. The biggest common factor number is the GCF number.
So the greatest common factor 24321 and 24336 is 3.

Also check out the Least Common Multiple of 24321 and 24336