What is the Greatest Common Factor of 18444 and 18456?

Greatest common factor (GCF) of 18444 and 18456 is 12.

GCF(18444,18456) = 12

We will now calculate the prime factors of 18444 and 18456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18444 and 18456.

How to find the GCF of 18444 and 18456?

We will first find the prime factorization of 18444 and 18456. After we will calculate the factors of 18444 and 18456 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 18456

Prime factors of 18456 are 2, 3, 769. Prime factorization of 18456 in exponential form is:

18456 = 2³ × 3¹ × 769¹

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 18456

List of positive integer factors of 18456 that divides 18444 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 769, 1538, 2307, 3076, 4614, 6152, 9228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18444 and 18456. The biggest common factor number is the GCF number.
So the greatest common factor 18444 and 18456 is 12.

Also check out the Least Common Multiple of 18444 and 18456