What is the Greatest Common Factor of 19189 and 19208?

Greatest common factor (GCF) of 19189 and 19208 is 1.

GCF(19189,19208) = 1

We will now calculate the prime factors of 19189 and 19208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19189 and 19208.

How to find the GCF of 19189 and 19208?

We will first find the prime factorization of 19189 and 19208. After we will calculate the factors of 19189 and 19208 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 19208

Prime factors of 19208 are 2, 7. Prime factorization of 19208 in exponential form is:

19208 = 2³ × 7⁴

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 19208

List of positive integer factors of 19208 that divides 19189 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2401, 2744, 4802, 9604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19189 and 19208. The biggest common factor number is the GCF number.
So the greatest common factor 19189 and 19208 is 1.

Also check out the Least Common Multiple of 19189 and 19208