What is the Greatest Common Factor of 23829 and 23841?

Greatest common factor (GCF) of 23829 and 23841 is 3.

GCF(23829,23841) = 3

We will now calculate the prime factors of 23829 and 23841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23829 and 23841.

How to find the GCF of 23829 and 23841?

We will first find the prime factorization of 23829 and 23841. After we will calculate the factors of 23829 and 23841 and find the biggest common factor number .

Step-1: Prime Factorization of 23829

Prime factors of 23829 are 3, 13, 47. Prime factorization of 23829 in exponential form is:

23829 = 3¹ × 13² × 47¹

Step-2: Prime Factorization of 23841

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

23841 = 3³ × 883¹

Step-3: Factors of 23829

List of positive integer factors of 23829 that divides 23829 without a remainder.

1, 3, 13, 39, 47, 141, 169, 507, 611, 1833, 7943

Step-4: Factors of 23841

List of positive integer factors of 23841 that divides 23829 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23829 and 23841. The biggest common factor number is the GCF number.
So the greatest common factor 23829 and 23841 is 3.

Also check out the Least Common Multiple of 23829 and 23841