What is the Greatest Common Factor of 23889 and 23895?

Greatest common factor (GCF) of 23889 and 23895 is 3.

GCF(23889,23895) = 3

We will now calculate the prime factors of 23889 and 23895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23889 and 23895.

How to find the GCF of 23889 and 23895?

We will first find the prime factorization of 23889 and 23895. After we will calculate the factors of 23889 and 23895 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 23895

Prime factors of 23895 are 3, 5, 59. Prime factorization of 23895 in exponential form is:

23895 = 3⁴ × 5¹ × 59¹

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 23895

List of positive integer factors of 23895 that divides 23889 without a remainder.

1, 3, 5, 9, 15, 27, 45, 59, 81, 135, 177, 295, 405, 531, 885, 1593, 2655, 4779, 7965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23889 and 23895. The biggest common factor number is the GCF number.
So the greatest common factor 23889 and 23895 is 3.

Also check out the Least Common Multiple of 23889 and 23895