What is the Greatest Common Factor of 19188 and 19192?

Greatest common factor (GCF) of 19188 and 19192 is 4.

GCF(19188,19192) = 4

We will now calculate the prime factors of 19188 and 19192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19188 and 19192.

How to find the GCF of 19188 and 19192?

We will first find the prime factorization of 19188 and 19192. After we will calculate the factors of 19188 and 19192 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 19192

Prime factors of 19192 are 2, 2399. Prime factorization of 19192 in exponential form is:

19192 = 2³ × 2399¹

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 19192

List of positive integer factors of 19192 that divides 19188 without a remainder.

1, 2, 4, 8, 2399, 4798, 9596

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19188 and 19192. The biggest common factor number is the GCF number.
So the greatest common factor 19188 and 19192 is 4.

Also check out the Least Common Multiple of 19188 and 19192