What is the Greatest Common Factor of 18309 and 18324?

Greatest common factor (GCF) of 18309 and 18324 is 3.

GCF(18309,18324) = 3

We will now calculate the prime factors of 18309 and 18324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18309 and 18324.

How to find the GCF of 18309 and 18324?

We will first find the prime factorization of 18309 and 18324. After we will calculate the factors of 18309 and 18324 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18324

Prime factors of 18324 are 2, 3, 509. Prime factorization of 18324 in exponential form is:

18324 = 2² × 3² × 509¹

Step-3: Factors of 18309

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

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

Step-4: Factors of 18324

List of positive integer factors of 18324 that divides 18309 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 509, 1018, 1527, 2036, 3054, 4581, 6108, 9162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18309 and 18324. The biggest common factor number is the GCF number.
So the greatest common factor 18309 and 18324 is 3.

Also check out the Least Common Multiple of 18309 and 18324