What is the Greatest Common Factor of 23997 and 24015?

Greatest common factor (GCF) of 23997 and 24015 is 3.

GCF(23997,24015) = 3

We will now calculate the prime factors of 23997 and 24015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23997 and 24015.

How to find the GCF of 23997 and 24015?

We will first find the prime factorization of 23997 and 24015. After we will calculate the factors of 23997 and 24015 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 24015

Prime factors of 24015 are 3, 5, 1601. Prime factorization of 24015 in exponential form is:

24015 = 3¹ × 5¹ × 1601¹

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 24015

List of positive integer factors of 24015 that divides 23997 without a remainder.

1, 3, 5, 15, 1601, 4803, 8005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23997 and 24015. The biggest common factor number is the GCF number.
So the greatest common factor 23997 and 24015 is 3.

Also check out the Least Common Multiple of 23997 and 24015