What is the Greatest Common Factor of 18909 and 18919?

Greatest common factor (GCF) of 18909 and 18919 is 1.

GCF(18909,18919) = 1

We will now calculate the prime factors of 18909 and 18919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18909 and 18919.

How to find the GCF of 18909 and 18919?

We will first find the prime factorization of 18909 and 18919. After we will calculate the factors of 18909 and 18919 and find the biggest common factor number .

Step-1: Prime Factorization of 18909

Prime factors of 18909 are 3, 11, 191. Prime factorization of 18909 in exponential form is:

18909 = 3² × 11¹ × 191¹

Step-2: Prime Factorization of 18919

Prime factors of 18919 are 18919. Prime factorization of 18919 in exponential form is:

18919 = 18919¹

Step-3: Factors of 18909

List of positive integer factors of 18909 that divides 18909 without a remainder.

1, 3, 9, 11, 33, 99, 191, 573, 1719, 2101, 6303

Step-4: Factors of 18919

List of positive integer factors of 18919 that divides 18909 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18909 and 18919. The biggest common factor number is the GCF number.
So the greatest common factor 18909 and 18919 is 1.

Also check out the Least Common Multiple of 18909 and 18919