What is the Greatest Common Factor of 18432 and 18438?

Greatest common factor (GCF) of 18432 and 18438 is 6.

GCF(18432,18438) = 6

We will now calculate the prime factors of 18432 and 18438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18432 and 18438.

How to find the GCF of 18432 and 18438?

We will first find the prime factorization of 18432 and 18438. After we will calculate the factors of 18432 and 18438 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 18438

Prime factors of 18438 are 2, 3, 7, 439. Prime factorization of 18438 in exponential form is:

18438 = 2¹ × 3¹ × 7¹ × 439¹

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 18438

List of positive integer factors of 18438 that divides 18432 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 439, 878, 1317, 2634, 3073, 6146, 9219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18432 and 18438. The biggest common factor number is the GCF number.
So the greatest common factor 18432 and 18438 is 6.

Also check out the Least Common Multiple of 18432 and 18438