What is the Greatest Common Factor of 28524 and 28533?

Greatest common factor (GCF) of 28524 and 28533 is 3.

GCF(28524,28533) = 3

We will now calculate the prime factors of 28524 and 28533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28524 and 28533.

How to find the GCF of 28524 and 28533?

We will first find the prime factorization of 28524 and 28533. After we will calculate the factors of 28524 and 28533 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 28533

Prime factors of 28533 are 3, 9511. Prime factorization of 28533 in exponential form is:

28533 = 3¹ × 9511¹

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 28533

List of positive integer factors of 28533 that divides 28524 without a remainder.

1, 3, 9511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28524 and 28533. The biggest common factor number is the GCF number.
So the greatest common factor 28524 and 28533 is 3.

Also check out the Least Common Multiple of 28524 and 28533