What is the Greatest Common Factor of 28524 and 28536?

Greatest common factor (GCF) of 28524 and 28536 is 12.

GCF(28524,28536) = 12

We will now calculate the prime factors of 28524 and 28536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28524 and 28536.

How to find the GCF of 28524 and 28536?

We will first find the prime factorization of 28524 and 28536. After we will calculate the factors of 28524 and 28536 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 28536

Prime factors of 28536 are 2, 3, 29, 41. Prime factorization of 28536 in exponential form is:

28536 = 2³ × 3¹ × 29¹ × 41¹

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 28536

List of positive integer factors of 28536 that divides 28524 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 41, 58, 82, 87, 116, 123, 164, 174, 232, 246, 328, 348, 492, 696, 984, 1189, 2378, 3567, 4756, 7134, 9512, 14268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28524 and 28536. The biggest common factor number is the GCF number.
So the greatest common factor 28524 and 28536 is 12.

Also check out the Least Common Multiple of 28524 and 28536