What is the Greatest Common Factor of 23901 and 23913?

Greatest common factor (GCF) of 23901 and 23913 is 3.

GCF(23901,23913) = 3

We will now calculate the prime factors of 23901 and 23913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23901 and 23913.

How to find the GCF of 23901 and 23913?

We will first find the prime factorization of 23901 and 23913. After we will calculate the factors of 23901 and 23913 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23913

Prime factors of 23913 are 3, 2657. Prime factorization of 23913 in exponential form is:

23913 = 3² × 2657¹

Step-3: Factors of 23901

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

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

Step-4: Factors of 23913

List of positive integer factors of 23913 that divides 23901 without a remainder.

1, 3, 9, 2657, 7971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23901 and 23913. The biggest common factor number is the GCF number.
So the greatest common factor 23901 and 23913 is 3.

Also check out the Least Common Multiple of 23901 and 23913