What is the Greatest Common Factor of 19184 and 19189?

Greatest common factor (GCF) of 19184 and 19189 is 1.

GCF(19184,19189) = 1

We will now calculate the prime factors of 19184 and 19189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19184 and 19189.

How to find the GCF of 19184 and 19189?

We will first find the prime factorization of 19184 and 19189. After we will calculate the factors of 19184 and 19189 and find the biggest common factor number .

Step-1: Prime Factorization of 19184

Prime factors of 19184 are 2, 11, 109. Prime factorization of 19184 in exponential form is:

19184 = 2⁴ × 11¹ × 109¹

Step-2: Prime Factorization of 19189

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

19189 = 31¹ × 619¹

Step-3: Factors of 19184

List of positive integer factors of 19184 that divides 19184 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 109, 176, 218, 436, 872, 1199, 1744, 2398, 4796, 9592

Step-4: Factors of 19189

List of positive integer factors of 19189 that divides 19184 without a remainder.

1, 31, 619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19184 and 19189. The biggest common factor number is the GCF number.
So the greatest common factor 19184 and 19189 is 1.

Also check out the Least Common Multiple of 19184 and 19189