What is the Greatest Common Factor of 28384 and 28388?

Greatest common factor (GCF) of 28384 and 28388 is 4.

GCF(28384,28388) = 4

We will now calculate the prime factors of 28384 and 28388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28384 and 28388.

How to find the GCF of 28384 and 28388?

We will first find the prime factorization of 28384 and 28388. After we will calculate the factors of 28384 and 28388 and find the biggest common factor number .

Step-1: Prime Factorization of 28384

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

28384 = 2⁵ × 887¹

Step-2: Prime Factorization of 28388

Prime factors of 28388 are 2, 47, 151. Prime factorization of 28388 in exponential form is:

28388 = 2² × 47¹ × 151¹

Step-3: Factors of 28384

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

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

Step-4: Factors of 28388

List of positive integer factors of 28388 that divides 28384 without a remainder.

1, 2, 4, 47, 94, 151, 188, 302, 604, 7097, 14194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28384 and 28388. The biggest common factor number is the GCF number.
So the greatest common factor 28384 and 28388 is 4.

Also check out the Least Common Multiple of 28384 and 28388