What is the Greatest Common Factor of 18444 and 18459?

Greatest common factor (GCF) of 18444 and 18459 is 3.

GCF(18444,18459) = 3

We will now calculate the prime factors of 18444 and 18459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18444 and 18459.

How to find the GCF of 18444 and 18459?

We will first find the prime factorization of 18444 and 18459. After we will calculate the factors of 18444 and 18459 and find the biggest common factor number .

Step-1: Prime Factorization of 18444

Prime factors of 18444 are 2, 3, 29, 53. Prime factorization of 18444 in exponential form is:

18444 = 2² × 3¹ × 29¹ × 53¹

Step-2: Prime Factorization of 18459

Prime factors of 18459 are 3, 7, 293. Prime factorization of 18459 in exponential form is:

18459 = 3² × 7¹ × 293¹

Step-3: Factors of 18444

List of positive integer factors of 18444 that divides 18444 without a remainder.

1, 2, 3, 4, 6, 12, 29, 53, 58, 87, 106, 116, 159, 174, 212, 318, 348, 636, 1537, 3074, 4611, 6148, 9222

Step-4: Factors of 18459

List of positive integer factors of 18459 that divides 18444 without a remainder.

1, 3, 7, 9, 21, 63, 293, 879, 2051, 2637, 6153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18444 and 18459. The biggest common factor number is the GCF number.
So the greatest common factor 18444 and 18459 is 3.

Also check out the Least Common Multiple of 18444 and 18459