What is the Greatest Common Factor of 19836 and 19842?

Greatest common factor (GCF) of 19836 and 19842 is 6.

GCF(19836,19842) = 6

We will now calculate the prime factors of 19836 and 19842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19836 and 19842.

How to find the GCF of 19836 and 19842?

We will first find the prime factorization of 19836 and 19842. After we will calculate the factors of 19836 and 19842 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 19842

Prime factors of 19842 are 2, 3, 3307. Prime factorization of 19842 in exponential form is:

19842 = 2¹ × 3¹ × 3307¹

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 19842

List of positive integer factors of 19842 that divides 19836 without a remainder.

1, 2, 3, 6, 3307, 6614, 9921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19836 and 19842. The biggest common factor number is the GCF number.
So the greatest common factor 19836 and 19842 is 6.

Also check out the Least Common Multiple of 19836 and 19842