What is the Greatest Common Factor of 18819 and 18837?

Greatest common factor (GCF) of 18819 and 18837 is 9.

GCF(18819,18837) = 9

We will now calculate the prime factors of 18819 and 18837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18819 and 18837.

How to find the GCF of 18819 and 18837?

We will first find the prime factorization of 18819 and 18837. After we will calculate the factors of 18819 and 18837 and find the biggest common factor number .

Step-1: Prime Factorization of 18819

Prime factors of 18819 are 3, 17, 41. Prime factorization of 18819 in exponential form is:

18819 = 3³ × 17¹ × 41¹

Step-2: Prime Factorization of 18837

Prime factors of 18837 are 3, 7, 13, 23. Prime factorization of 18837 in exponential form is:

18837 = 3² × 7¹ × 13¹ × 23¹

Step-3: Factors of 18819

List of positive integer factors of 18819 that divides 18819 without a remainder.

1, 3, 9, 17, 27, 41, 51, 123, 153, 369, 459, 697, 1107, 2091, 6273

Step-4: Factors of 18837

List of positive integer factors of 18837 that divides 18819 without a remainder.

1, 3, 7, 9, 13, 21, 23, 39, 63, 69, 91, 117, 161, 207, 273, 299, 483, 819, 897, 1449, 2093, 2691, 6279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18819 and 18837. The biggest common factor number is the GCF number.
So the greatest common factor 18819 and 18837 is 9.

Also check out the Least Common Multiple of 18819 and 18837