What is the Greatest Common Factor of 23826 and 23845?

Greatest common factor (GCF) of 23826 and 23845 is 19.

GCF(23826,23845) = 19

We will now calculate the prime factors of 23826 and 23845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23826 and 23845.

How to find the GCF of 23826 and 23845?

We will first find the prime factorization of 23826 and 23845. After we will calculate the factors of 23826 and 23845 and find the biggest common factor number .

Step-1: Prime Factorization of 23826

Prime factors of 23826 are 2, 3, 11, 19. Prime factorization of 23826 in exponential form is:

23826 = 2¹ × 3¹ × 11¹ × 19²

Step-2: Prime Factorization of 23845

Prime factors of 23845 are 5, 19, 251. Prime factorization of 23845 in exponential form is:

23845 = 5¹ × 19¹ × 251¹

Step-3: Factors of 23826

List of positive integer factors of 23826 that divides 23826 without a remainder.

1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 361, 418, 627, 722, 1083, 1254, 2166, 3971, 7942, 11913

Step-4: Factors of 23845

List of positive integer factors of 23845 that divides 23826 without a remainder.

1, 5, 19, 95, 251, 1255, 4769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23826 and 23845. The biggest common factor number is the GCF number.
So the greatest common factor 23826 and 23845 is 19.

Also check out the Least Common Multiple of 23826 and 23845