What is the Greatest Common Factor of 18891 and 18909?

Greatest common factor (GCF) of 18891 and 18909 is 9.

GCF(18891,18909) = 9

We will now calculate the prime factors of 18891 and 18909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18891 and 18909.

How to find the GCF of 18891 and 18909?

We will first find the prime factorization of 18891 and 18909. After we will calculate the factors of 18891 and 18909 and find the biggest common factor number .

Step-1: Prime Factorization of 18891

Prime factors of 18891 are 3, 2099. Prime factorization of 18891 in exponential form is:

18891 = 3² × 2099¹

Step-2: 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-3: Factors of 18891

List of positive integer factors of 18891 that divides 18891 without a remainder.

1, 3, 9, 2099, 6297

Step-4: Factors of 18909

List of positive integer factors of 18909 that divides 18891 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18891 and 18909. The biggest common factor number is the GCF number.
So the greatest common factor 18891 and 18909 is 9.

Also check out the Least Common Multiple of 18891 and 18909