What is the Greatest Common Factor of 18432 and 18448?

Greatest common factor (GCF) of 18432 and 18448 is 16.

GCF(18432,18448) = 16

We will now calculate the prime factors of 18432 and 18448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18432 and 18448.

How to find the GCF of 18432 and 18448?

We will first find the prime factorization of 18432 and 18448. After we will calculate the factors of 18432 and 18448 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 18448

Prime factors of 18448 are 2, 1153. Prime factorization of 18448 in exponential form is:

18448 = 2⁴ × 1153¹

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 18448

List of positive integer factors of 18448 that divides 18432 without a remainder.

1, 2, 4, 8, 16, 1153, 2306, 4612, 9224

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18432 and 18448. The biggest common factor number is the GCF number.
So the greatest common factor 18432 and 18448 is 16.

Also check out the Least Common Multiple of 18432 and 18448