What is the Greatest Common Factor of 28569 and 28584?

Greatest common factor (GCF) of 28569 and 28584 is 3.

GCF(28569,28584) = 3

We will now calculate the prime factors of 28569 and 28584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28569 and 28584.

How to find the GCF of 28569 and 28584?

We will first find the prime factorization of 28569 and 28584. After we will calculate the factors of 28569 and 28584 and find the biggest common factor number .

Step-1: Prime Factorization of 28569

Prime factors of 28569 are 3, 89, 107. Prime factorization of 28569 in exponential form is:

28569 = 3¹ × 89¹ × 107¹

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 28569

List of positive integer factors of 28569 that divides 28569 without a remainder.

1, 3, 89, 107, 267, 321, 9523

Step-4: Factors of 28584

List of positive integer factors of 28584 that divides 28569 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 28569 and 28584. The biggest common factor number is the GCF number.
So the greatest common factor 28569 and 28584 is 3.

Also check out the Least Common Multiple of 28569 and 28584