What is the Greatest Common Factor of 19089 and 19105?

Greatest common factor (GCF) of 19089 and 19105 is 1.

GCF(19089,19105) = 1

We will now calculate the prime factors of 19089 and 19105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19089 and 19105.

How to find the GCF of 19089 and 19105?

We will first find the prime factorization of 19089 and 19105. After we will calculate the factors of 19089 and 19105 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 19105

Prime factors of 19105 are 5, 3821. Prime factorization of 19105 in exponential form is:

19105 = 5¹ × 3821¹

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 19105

List of positive integer factors of 19105 that divides 19089 without a remainder.

1, 5, 3821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19089 and 19105. The biggest common factor number is the GCF number.
So the greatest common factor 19089 and 19105 is 1.

Also check out the Least Common Multiple of 19089 and 19105