What is the Greatest Common Factor of 23889 and 23901?

Greatest common factor (GCF) of 23889 and 23901 is 3.

GCF(23889,23901) = 3

We will now calculate the prime factors of 23889 and 23901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23889 and 23901.

How to find the GCF of 23889 and 23901?

We will first find the prime factorization of 23889 and 23901. After we will calculate the factors of 23889 and 23901 and find the biggest common factor number .

Step-1: Prime Factorization of 23889

Prime factors of 23889 are 3, 7963. Prime factorization of 23889 in exponential form is:

23889 = 3¹ × 7963¹

Step-2: Prime Factorization of 23901

Prime factors of 23901 are 3, 31, 257. Prime factorization of 23901 in exponential form is:

23901 = 3¹ × 31¹ × 257¹

Step-3: Factors of 23889

List of positive integer factors of 23889 that divides 23889 without a remainder.

1, 3, 7963

Step-4: Factors of 23901

List of positive integer factors of 23901 that divides 23889 without a remainder.

1, 3, 31, 93, 257, 771, 7967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23889 and 23901. The biggest common factor number is the GCF number.
So the greatest common factor 23889 and 23901 is 3.

Also check out the Least Common Multiple of 23889 and 23901