What is the Greatest Common Factor of 19836 and 19848?

Greatest common factor (GCF) of 19836 and 19848 is 12.

GCF(19836,19848) = 12

We will now calculate the prime factors of 19836 and 19848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19836 and 19848.

How to find the GCF of 19836 and 19848?

We will first find the prime factorization of 19836 and 19848. After we will calculate the factors of 19836 and 19848 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 19848

Prime factors of 19848 are 2, 3, 827. Prime factorization of 19848 in exponential form is:

19848 = 2³ × 3¹ × 827¹

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 19848

List of positive integer factors of 19848 that divides 19836 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 827, 1654, 2481, 3308, 4962, 6616, 9924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19836 and 19848. The biggest common factor number is the GCF number.
So the greatest common factor 19836 and 19848 is 12.

Also check out the Least Common Multiple of 19836 and 19848