What is the Greatest Common Factor of 23822 and 23826?

Greatest common factor (GCF) of 23822 and 23826 is 2.

GCF(23822,23826) = 2

We will now calculate the prime factors of 23822 and 23826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23822 and 23826.

How to find the GCF of 23822 and 23826?

We will first find the prime factorization of 23822 and 23826. After we will calculate the factors of 23822 and 23826 and find the biggest common factor number .

Step-1: Prime Factorization of 23822

Prime factors of 23822 are 2, 43, 277. Prime factorization of 23822 in exponential form is:

23822 = 2¹ × 43¹ × 277¹

Step-2: 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-3: Factors of 23822

List of positive integer factors of 23822 that divides 23822 without a remainder.

1, 2, 43, 86, 277, 554, 11911

Step-4: Factors of 23826

List of positive integer factors of 23826 that divides 23822 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23822 and 23826. The biggest common factor number is the GCF number.
So the greatest common factor 23822 and 23826 is 2.

Also check out the Least Common Multiple of 23822 and 23826