What is the Greatest Common Factor of 19089 and 19101?

Greatest common factor (GCF) of 19089 and 19101 is 3.

GCF(19089,19101) = 3

We will now calculate the prime factors of 19089 and 19101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19089 and 19101.

How to find the GCF of 19089 and 19101?

We will first find the prime factorization of 19089 and 19101. After we will calculate the factors of 19089 and 19101 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 19101

Prime factors of 19101 are 3, 6367. Prime factorization of 19101 in exponential form is:

19101 = 3¹ × 6367¹

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 19101

List of positive integer factors of 19101 that divides 19089 without a remainder.

1, 3, 6367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19089 and 19101. The biggest common factor number is the GCF number.
So the greatest common factor 19089 and 19101 is 3.

Also check out the Least Common Multiple of 19089 and 19101