What is the Greatest Common Factor of 23889 and 23907?

Greatest common factor (GCF) of 23889 and 23907 is 3.

GCF(23889,23907) = 3

We will now calculate the prime factors of 23889 and 23907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23889 and 23907.

How to find the GCF of 23889 and 23907?

We will first find the prime factorization of 23889 and 23907. After we will calculate the factors of 23889 and 23907 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 23907

Prime factors of 23907 are 3, 13, 613. Prime factorization of 23907 in exponential form is:

23907 = 3¹ × 13¹ × 613¹

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 23907

List of positive integer factors of 23907 that divides 23889 without a remainder.

1, 3, 13, 39, 613, 1839, 7969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23889 and 23907. The biggest common factor number is the GCF number.
So the greatest common factor 23889 and 23907 is 3.

Also check out the Least Common Multiple of 23889 and 23907