What is the Greatest Common Factor of 23994 and 24003?

Greatest common factor (GCF) of 23994 and 24003 is 9.

GCF(23994,24003) = 9

We will now calculate the prime factors of 23994 and 24003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23994 and 24003.

How to find the GCF of 23994 and 24003?

We will first find the prime factorization of 23994 and 24003. After we will calculate the factors of 23994 and 24003 and find the biggest common factor number .

Step-1: Prime Factorization of 23994

Prime factors of 23994 are 2, 3, 31, 43. Prime factorization of 23994 in exponential form is:

23994 = 2¹ × 3² × 31¹ × 43¹

Step-2: Prime Factorization of 24003

Prime factors of 24003 are 3, 7, 127. Prime factorization of 24003 in exponential form is:

24003 = 3³ × 7¹ × 127¹

Step-3: Factors of 23994

List of positive integer factors of 23994 that divides 23994 without a remainder.

1, 2, 3, 6, 9, 18, 31, 43, 62, 86, 93, 129, 186, 258, 279, 387, 558, 774, 1333, 2666, 3999, 7998, 11997

Step-4: Factors of 24003

List of positive integer factors of 24003 that divides 23994 without a remainder.

1, 3, 7, 9, 21, 27, 63, 127, 189, 381, 889, 1143, 2667, 3429, 8001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23994 and 24003. The biggest common factor number is the GCF number.
So the greatest common factor 23994 and 24003 is 9.

Also check out the Least Common Multiple of 23994 and 24003