What is the Greatest Common Factor of 23997 and 24012?

Greatest common factor (GCF) of 23997 and 24012 is 3.

GCF(23997,24012) = 3

We will now calculate the prime factors of 23997 and 24012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23997 and 24012.

How to find the GCF of 23997 and 24012?

We will first find the prime factorization of 23997 and 24012. After we will calculate the factors of 23997 and 24012 and find the biggest common factor number .

Step-1: Prime Factorization of 23997

Prime factors of 23997 are 3, 19, 421. Prime factorization of 23997 in exponential form is:

23997 = 3¹ × 19¹ × 421¹

Step-2: Prime Factorization of 24012

Prime factors of 24012 are 2, 3, 23, 29. Prime factorization of 24012 in exponential form is:

24012 = 2² × 3² × 23¹ × 29¹

Step-3: Factors of 23997

List of positive integer factors of 23997 that divides 23997 without a remainder.

1, 3, 19, 57, 421, 1263, 7999

Step-4: Factors of 24012

List of positive integer factors of 24012 that divides 23997 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 29, 36, 46, 58, 69, 87, 92, 116, 138, 174, 207, 261, 276, 348, 414, 522, 667, 828, 1044, 1334, 2001, 2668, 4002, 6003, 8004, 12006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23997 and 24012. The biggest common factor number is the GCF number.
So the greatest common factor 23997 and 24012 is 3.

Also check out the Least Common Multiple of 23997 and 24012