What is the Greatest Common Factor of 23841 and 23859?

Greatest common factor (GCF) of 23841 and 23859 is 9.

GCF(23841,23859) = 9

We will now calculate the prime factors of 23841 and 23859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23841 and 23859.

How to find the GCF of 23841 and 23859?

We will first find the prime factorization of 23841 and 23859. After we will calculate the factors of 23841 and 23859 and find the biggest common factor number .

Step-1: Prime Factorization of 23841

Prime factors of 23841 are 3, 883. Prime factorization of 23841 in exponential form is:

23841 = 3³ × 883¹

Step-2: Prime Factorization of 23859

Prime factors of 23859 are 3, 11, 241. Prime factorization of 23859 in exponential form is:

23859 = 3² × 11¹ × 241¹

Step-3: Factors of 23841

List of positive integer factors of 23841 that divides 23841 without a remainder.

1, 3, 9, 27, 883, 2649, 7947

Step-4: Factors of 23859

List of positive integer factors of 23859 that divides 23841 without a remainder.

1, 3, 9, 11, 33, 99, 241, 723, 2169, 2651, 7953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23841 and 23859. The biggest common factor number is the GCF number.
So the greatest common factor 23841 and 23859 is 9.

Also check out the Least Common Multiple of 23841 and 23859