What is the Greatest Common Factor of 28368 and 28384?

Greatest common factor (GCF) of 28368 and 28384 is 16.

GCF(28368,28384) = 16

We will now calculate the prime factors of 28368 and 28384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28368 and 28384.

How to find the GCF of 28368 and 28384?

We will first find the prime factorization of 28368 and 28384. After we will calculate the factors of 28368 and 28384 and find the biggest common factor number .

Step-1: Prime Factorization of 28368

Prime factors of 28368 are 2, 3, 197. Prime factorization of 28368 in exponential form is:

28368 = 2⁴ × 3² × 197¹

Step-2: Prime Factorization of 28384

Prime factors of 28384 are 2, 887. Prime factorization of 28384 in exponential form is:

28384 = 2⁵ × 887¹

Step-3: Factors of 28368

List of positive integer factors of 28368 that divides 28368 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 197, 394, 591, 788, 1182, 1576, 1773, 2364, 3152, 3546, 4728, 7092, 9456, 14184

Step-4: Factors of 28384

List of positive integer factors of 28384 that divides 28368 without a remainder.

1, 2, 4, 8, 16, 32, 887, 1774, 3548, 7096, 14192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28368 and 28384. The biggest common factor number is the GCF number.
So the greatest common factor 28368 and 28384 is 16.

Also check out the Least Common Multiple of 28368 and 28384