What is the Greatest Common Factor of 18432 and 18444?

Greatest common factor (GCF) of 18432 and 18444 is 12.

GCF(18432,18444) = 12

We will now calculate the prime factors of 18432 and 18444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18432 and 18444.

How to find the GCF of 18432 and 18444?

We will first find the prime factorization of 18432 and 18444. After we will calculate the factors of 18432 and 18444 and find the biggest common factor number .

Step-1: Prime Factorization of 18432

Prime factors of 18432 are 2, 3. Prime factorization of 18432 in exponential form is:

18432 = 2¹¹ × 3²

Step-2: 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-3: Factors of 18432

List of positive integer factors of 18432 that divides 18432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2048, 2304, 3072, 4608, 6144, 9216

Step-4: Factors of 18444

List of positive integer factors of 18444 that divides 18432 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18432 and 18444. The biggest common factor number is the GCF number.
So the greatest common factor 18432 and 18444 is 12.

Also check out the Least Common Multiple of 18432 and 18444