What is the Greatest Common Factor of 28564 and 28584?

Greatest common factor (GCF) of 28564 and 28584 is 4.

GCF(28564,28584) = 4

We will now calculate the prime factors of 28564 and 28584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28564 and 28584.

How to find the GCF of 28564 and 28584?

We will first find the prime factorization of 28564 and 28584. After we will calculate the factors of 28564 and 28584 and find the biggest common factor number .

Step-1: Prime Factorization of 28564

Prime factors of 28564 are 2, 37, 193. Prime factorization of 28564 in exponential form is:

28564 = 2² × 37¹ × 193¹

Step-2: Prime Factorization of 28584

Prime factors of 28584 are 2, 3, 397. Prime factorization of 28584 in exponential form is:

28584 = 2³ × 3² × 397¹

Step-3: Factors of 28564

List of positive integer factors of 28564 that divides 28564 without a remainder.

1, 2, 4, 37, 74, 148, 193, 386, 772, 7141, 14282

Step-4: Factors of 28584

List of positive integer factors of 28584 that divides 28564 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 397, 794, 1191, 1588, 2382, 3176, 3573, 4764, 7146, 9528, 14292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28564 and 28584. The biggest common factor number is the GCF number.
So the greatest common factor 28564 and 28584 is 4.

Also check out the Least Common Multiple of 28564 and 28584