What is the Greatest Common Factor of 19389 and 19404?

Greatest common factor (GCF) of 19389 and 19404 is 3.

GCF(19389,19404) = 3

We will now calculate the prime factors of 19389 and 19404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19389 and 19404.

How to find the GCF of 19389 and 19404?

We will first find the prime factorization of 19389 and 19404. After we will calculate the factors of 19389 and 19404 and find the biggest common factor number .

Step-1: Prime Factorization of 19389

Prime factors of 19389 are 3, 23, 281. Prime factorization of 19389 in exponential form is:

19389 = 3¹ × 23¹ × 281¹

Step-2: Prime Factorization of 19404

Prime factors of 19404 are 2, 3, 7, 11. Prime factorization of 19404 in exponential form is:

19404 = 2² × 3² × 7² × 11¹

Step-3: Factors of 19389

List of positive integer factors of 19389 that divides 19389 without a remainder.

1, 3, 23, 69, 281, 843, 6463

Step-4: Factors of 19404

List of positive integer factors of 19404 that divides 19389 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 49, 63, 66, 77, 84, 98, 99, 126, 132, 147, 154, 196, 198, 231, 252, 294, 308, 396, 441, 462, 539, 588, 693, 882, 924, 1078, 1386, 1617, 1764, 2156, 2772, 3234, 4851, 6468, 9702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19389 and 19404. The biggest common factor number is the GCF number.
So the greatest common factor 19389 and 19404 is 3.

Also check out the Least Common Multiple of 19389 and 19404