What is the Greatest Common Factor of 19836 and 19843?

Greatest common factor (GCF) of 19836 and 19843 is 1.

GCF(19836,19843) = 1

We will now calculate the prime factors of 19836 and 19843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19836 and 19843.

How to find the GCF of 19836 and 19843?

We will first find the prime factorization of 19836 and 19843. After we will calculate the factors of 19836 and 19843 and find the biggest common factor number .

Step-1: Prime Factorization of 19836

Prime factors of 19836 are 2, 3, 19, 29. Prime factorization of 19836 in exponential form is:

19836 = 2² × 3² × 19¹ × 29¹

Step-2: Prime Factorization of 19843

Prime factors of 19843 are 19843. Prime factorization of 19843 in exponential form is:

19843 = 19843¹

Step-3: Factors of 19836

List of positive integer factors of 19836 that divides 19836 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 29, 36, 38, 57, 58, 76, 87, 114, 116, 171, 174, 228, 261, 342, 348, 522, 551, 684, 1044, 1102, 1653, 2204, 3306, 4959, 6612, 9918

Step-4: Factors of 19843

List of positive integer factors of 19843 that divides 19836 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19836 and 19843. The biggest common factor number is the GCF number.
So the greatest common factor 19836 and 19843 is 1.

Also check out the Least Common Multiple of 19836 and 19843