What is the Greatest Common Factor of 19824 and 19836?

Greatest common factor (GCF) of 19824 and 19836 is 12.

GCF(19824,19836) = 12

We will now calculate the prime factors of 19824 and 19836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19824 and 19836.

How to find the GCF of 19824 and 19836?

We will first find the prime factorization of 19824 and 19836. After we will calculate the factors of 19824 and 19836 and find the biggest common factor number .

Step-1: Prime Factorization of 19824

Prime factors of 19824 are 2, 3, 7, 59. Prime factorization of 19824 in exponential form is:

19824 = 2⁴ × 3¹ × 7¹ × 59¹

Step-2: 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-3: Factors of 19824

List of positive integer factors of 19824 that divides 19824 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 59, 84, 112, 118, 168, 177, 236, 336, 354, 413, 472, 708, 826, 944, 1239, 1416, 1652, 2478, 2832, 3304, 4956, 6608, 9912

Step-4: Factors of 19836

List of positive integer factors of 19836 that divides 19824 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19824 and 19836. The biggest common factor number is the GCF number.
So the greatest common factor 19824 and 19836 is 12.

Also check out the Least Common Multiple of 19824 and 19836