What is the Greatest Common Factor of 23989 and 24001?

Greatest common factor (GCF) of 23989 and 24001 is 1.

GCF(23989,24001) = 1

We will now calculate the prime factors of 23989 and 24001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23989 and 24001.

How to find the GCF of 23989 and 24001?

We will first find the prime factorization of 23989 and 24001. After we will calculate the factors of 23989 and 24001 and find the biggest common factor number .

Step-1: Prime Factorization of 23989

Prime factors of 23989 are 7, 23, 149. Prime factorization of 23989 in exponential form is:

23989 = 7¹ × 23¹ × 149¹

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 23989

List of positive integer factors of 23989 that divides 23989 without a remainder.

1, 7, 23, 149, 161, 1043, 3427

Step-4: Factors of 24001

List of positive integer factors of 24001 that divides 23989 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23989 and 24001. The biggest common factor number is the GCF number.
So the greatest common factor 23989 and 24001 is 1.

Also check out the Least Common Multiple of 23989 and 24001