What is the Greatest Common Factor of 18909 and 18917?

Greatest common factor (GCF) of 18909 and 18917 is 1.

GCF(18909,18917) = 1

We will now calculate the prime factors of 18909 and 18917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18909 and 18917.

How to find the GCF of 18909 and 18917?

We will first find the prime factorization of 18909 and 18917. After we will calculate the factors of 18909 and 18917 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 18917

Prime factors of 18917 are 18917. Prime factorization of 18917 in exponential form is:

18917 = 18917¹

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 18917

List of positive integer factors of 18917 that divides 18909 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18909 and 18917. The biggest common factor number is the GCF number.
So the greatest common factor 18909 and 18917 is 1.

Also check out the Least Common Multiple of 18909 and 18917