What is the Greatest Common Factor of 28530 and 28539?

Greatest common factor (GCF) of 28530 and 28539 is 9.

GCF(28530,28539) = 9

We will now calculate the prime factors of 28530 and 28539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28530 and 28539.

How to find the GCF of 28530 and 28539?

We will first find the prime factorization of 28530 and 28539. After we will calculate the factors of 28530 and 28539 and find the biggest common factor number .

Step-1: Prime Factorization of 28530

Prime factors of 28530 are 2, 3, 5, 317. Prime factorization of 28530 in exponential form is:

28530 = 2¹ × 3² × 5¹ × 317¹

Step-2: Prime Factorization of 28539

Prime factors of 28539 are 3, 7, 151. Prime factorization of 28539 in exponential form is:

28539 = 3³ × 7¹ × 151¹

Step-3: Factors of 28530

List of positive integer factors of 28530 that divides 28530 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 317, 634, 951, 1585, 1902, 2853, 3170, 4755, 5706, 9510, 14265

Step-4: Factors of 28539

List of positive integer factors of 28539 that divides 28530 without a remainder.

1, 3, 7, 9, 21, 27, 63, 151, 189, 453, 1057, 1359, 3171, 4077, 9513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28530 and 28539. The biggest common factor number is the GCF number.
So the greatest common factor 28530 and 28539 is 9.

Also check out the Least Common Multiple of 28530 and 28539