What is the Greatest Common Factor of 19189 and 19198?

Greatest common factor (GCF) of 19189 and 19198 is 1.

GCF(19189,19198) = 1

We will now calculate the prime factors of 19189 and 19198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19189 and 19198.

How to find the GCF of 19189 and 19198?

We will first find the prime factorization of 19189 and 19198. After we will calculate the factors of 19189 and 19198 and find the biggest common factor number .

Step-1: Prime Factorization of 19189

Prime factors of 19189 are 31, 619. Prime factorization of 19189 in exponential form is:

19189 = 31¹ × 619¹

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 19189

List of positive integer factors of 19189 that divides 19189 without a remainder.

1, 31, 619

Step-4: Factors of 19198

List of positive integer factors of 19198 that divides 19189 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19189 and 19198. The biggest common factor number is the GCF number.
So the greatest common factor 19189 and 19198 is 1.

Also check out the Least Common Multiple of 19189 and 19198