What is the Greatest Common Factor of 28524 and 28530?

Greatest common factor (GCF) of 28524 and 28530 is 6.

GCF(28524,28530) = 6

We will now calculate the prime factors of 28524 and 28530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28524 and 28530.

How to find the GCF of 28524 and 28530?

We will first find the prime factorization of 28524 and 28530. After we will calculate the factors of 28524 and 28530 and find the biggest common factor number .

Step-1: Prime Factorization of 28524

Prime factors of 28524 are 2, 3, 2377. Prime factorization of 28524 in exponential form is:

28524 = 2² × 3¹ × 2377¹

Step-2: 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-3: Factors of 28524

List of positive integer factors of 28524 that divides 28524 without a remainder.

1, 2, 3, 4, 6, 12, 2377, 4754, 7131, 9508, 14262

Step-4: Factors of 28530

List of positive integer factors of 28530 that divides 28524 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28524 and 28530. The biggest common factor number is the GCF number.
So the greatest common factor 28524 and 28530 is 6.

Also check out the Least Common Multiple of 28524 and 28530