What is the Greatest Common Factor of 23989 and 23999?

Greatest common factor (GCF) of 23989 and 23999 is 1.

GCF(23989,23999) = 1

We will now calculate the prime factors of 23989 and 23999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23989 and 23999.

How to find the GCF of 23989 and 23999?

We will first find the prime factorization of 23989 and 23999. After we will calculate the factors of 23989 and 23999 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 23999

Prime factors of 23999 are 103, 233. Prime factorization of 23999 in exponential form is:

23999 = 103¹ × 233¹

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 23999

List of positive integer factors of 23999 that divides 23989 without a remainder.

1, 103, 233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23989 and 23999. The biggest common factor number is the GCF number.
So the greatest common factor 23989 and 23999 is 1.

Also check out the Least Common Multiple of 23989 and 23999