What is the Greatest Common Factor of 19089 and 19109?

Greatest common factor (GCF) of 19089 and 19109 is 1.

GCF(19089,19109) = 1

We will now calculate the prime factors of 19089 and 19109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19089 and 19109.

How to find the GCF of 19089 and 19109?

We will first find the prime factorization of 19089 and 19109. After we will calculate the factors of 19089 and 19109 and find the biggest common factor number .

Step-1: Prime Factorization of 19089

Prime factors of 19089 are 3, 7, 101. Prime factorization of 19089 in exponential form is:

19089 = 3³ × 7¹ × 101¹

Step-2: Prime Factorization of 19109

Prime factors of 19109 are 97, 197. Prime factorization of 19109 in exponential form is:

19109 = 97¹ × 197¹

Step-3: Factors of 19089

List of positive integer factors of 19089 that divides 19089 without a remainder.

1, 3, 7, 9, 21, 27, 63, 101, 189, 303, 707, 909, 2121, 2727, 6363

Step-4: Factors of 19109

List of positive integer factors of 19109 that divides 19089 without a remainder.

1, 97, 197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19089 and 19109. The biggest common factor number is the GCF number.
So the greatest common factor 19089 and 19109 is 1.

Also check out the Least Common Multiple of 19089 and 19109