What is the Greatest Common Factor of 19188 and 19197?

Greatest common factor (GCF) of 19188 and 19197 is 9.

GCF(19188,19197) = 9

We will now calculate the prime factors of 19188 and 19197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19188 and 19197.

How to find the GCF of 19188 and 19197?

We will first find the prime factorization of 19188 and 19197. After we will calculate the factors of 19188 and 19197 and find the biggest common factor number .

Step-1: Prime Factorization of 19188

Prime factors of 19188 are 2, 3, 13, 41. Prime factorization of 19188 in exponential form is:

19188 = 2² × 3² × 13¹ × 41¹

Step-2: Prime Factorization of 19197

Prime factors of 19197 are 3, 79. Prime factorization of 19197 in exponential form is:

19197 = 3⁵ × 79¹

Step-3: Factors of 19188

List of positive integer factors of 19188 that divides 19188 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 41, 52, 78, 82, 117, 123, 156, 164, 234, 246, 369, 468, 492, 533, 738, 1066, 1476, 1599, 2132, 3198, 4797, 6396, 9594

Step-4: Factors of 19197

List of positive integer factors of 19197 that divides 19188 without a remainder.

1, 3, 9, 27, 79, 81, 237, 243, 711, 2133, 6399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19188 and 19197. The biggest common factor number is the GCF number.
So the greatest common factor 19188 and 19197 is 9.

Also check out the Least Common Multiple of 19188 and 19197