What is the Greatest Common Factor of 28569 and 28575?

Greatest common factor (GCF) of 28569 and 28575 is 3.

GCF(28569,28575) = 3

We will now calculate the prime factors of 28569 and 28575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28569 and 28575.

How to find the GCF of 28569 and 28575?

We will first find the prime factorization of 28569 and 28575. After we will calculate the factors of 28569 and 28575 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 28575

Prime factors of 28575 are 3, 5, 127. Prime factorization of 28575 in exponential form is:

28575 = 3² × 5² × 127¹

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 28575

List of positive integer factors of 28575 that divides 28569 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 127, 225, 381, 635, 1143, 1905, 3175, 5715, 9525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28569 and 28575. The biggest common factor number is the GCF number.
So the greatest common factor 28569 and 28575 is 3.

Also check out the Least Common Multiple of 28569 and 28575