What is the Greatest Common Factor of 19188 and 19198?

Greatest common factor (GCF) of 19188 and 19198 is 2.

GCF(19188,19198) = 2

We will now calculate the prime factors of 19188 and 19198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19188 and 19198.

How to find the GCF of 19188 and 19198?

We will first find the prime factorization of 19188 and 19198. After we will calculate the factors of 19188 and 19198 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 19198

Prime factors of 19198 are 2, 29, 331. Prime factorization of 19198 in exponential form is:

19198 = 2¹ × 29¹ × 331¹

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 19198

List of positive integer factors of 19198 that divides 19188 without a remainder.

1, 2, 29, 58, 331, 662, 9599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19188 and 19198. The biggest common factor number is the GCF number.
So the greatest common factor 19188 and 19198 is 2.

Also check out the Least Common Multiple of 19188 and 19198