What is the Greatest Common Factor of 28384 and 28394?

Greatest common factor (GCF) of 28384 and 28394 is 2.

GCF(28384,28394) = 2

We will now calculate the prime factors of 28384 and 28394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28384 and 28394.

How to find the GCF of 28384 and 28394?

We will first find the prime factorization of 28384 and 28394. After we will calculate the factors of 28384 and 28394 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 28394

Prime factors of 28394 are 2, 14197. Prime factorization of 28394 in exponential form is:

28394 = 2¹ × 14197¹

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 28394

List of positive integer factors of 28394 that divides 28384 without a remainder.

1, 2, 14197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28384 and 28394. The biggest common factor number is the GCF number.
So the greatest common factor 28384 and 28394 is 2.

Also check out the Least Common Multiple of 28384 and 28394