What is the Greatest Common Factor of 23987 and 24001?

Greatest common factor (GCF) of 23987 and 24001 is 1.

GCF(23987,24001) = 1

We will now calculate the prime factors of 23987 and 24001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23987 and 24001.

How to find the GCF of 23987 and 24001?

We will first find the prime factorization of 23987 and 24001. After we will calculate the factors of 23987 and 24001 and find the biggest common factor number .

Step-1: Prime Factorization of 23987

Prime factors of 23987 are 17, 83. Prime factorization of 23987 in exponential form is:

23987 = 17² × 83¹

Step-2: Prime Factorization of 24001

Prime factors of 24001 are 24001. Prime factorization of 24001 in exponential form is:

24001 = 24001¹

Step-3: Factors of 23987

List of positive integer factors of 23987 that divides 23987 without a remainder.

1, 17, 83, 289, 1411

Step-4: Factors of 24001

List of positive integer factors of 24001 that divides 23987 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23987 and 24001. The biggest common factor number is the GCF number.
So the greatest common factor 23987 and 24001 is 1.

Also check out the Least Common Multiple of 23987 and 24001