What is the Greatest Common Factor of 18297 and 18309?

Greatest common factor (GCF) of 18297 and 18309 is 3.

GCF(18297,18309) = 3

We will now calculate the prime factors of 18297 and 18309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18297 and 18309.

How to find the GCF of 18297 and 18309?

We will first find the prime factorization of 18297 and 18309. After we will calculate the factors of 18297 and 18309 and find the biggest common factor number .

Step-1: Prime Factorization of 18297

Prime factors of 18297 are 3, 19, 107. Prime factorization of 18297 in exponential form is:

18297 = 3² × 19¹ × 107¹

Step-2: Prime Factorization of 18309

Prime factors of 18309 are 3, 17, 359. Prime factorization of 18309 in exponential form is:

18309 = 3¹ × 17¹ × 359¹

Step-3: Factors of 18297

List of positive integer factors of 18297 that divides 18297 without a remainder.

1, 3, 9, 19, 57, 107, 171, 321, 963, 2033, 6099

Step-4: Factors of 18309

List of positive integer factors of 18309 that divides 18297 without a remainder.

1, 3, 17, 51, 359, 1077, 6103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18297 and 18309. The biggest common factor number is the GCF number.
So the greatest common factor 18297 and 18309 is 3.

Also check out the Least Common Multiple of 18297 and 18309