What is the Greatest Common Factor of 28509 and 28524?

Greatest common factor (GCF) of 28509 and 28524 is 3.

GCF(28509,28524) = 3

We will now calculate the prime factors of 28509 and 28524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28509 and 28524.

How to find the GCF of 28509 and 28524?

We will first find the prime factorization of 28509 and 28524. After we will calculate the factors of 28509 and 28524 and find the biggest common factor number .

Step-1: Prime Factorization of 28509

Prime factors of 28509 are 3, 13, 17, 43. Prime factorization of 28509 in exponential form is:

28509 = 3¹ × 13¹ × 17¹ × 43¹

Step-2: 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-3: Factors of 28509

List of positive integer factors of 28509 that divides 28509 without a remainder.

1, 3, 13, 17, 39, 43, 51, 129, 221, 559, 663, 731, 1677, 2193, 9503

Step-4: Factors of 28524

List of positive integer factors of 28524 that divides 28509 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28509 and 28524. The biggest common factor number is the GCF number.
So the greatest common factor 28509 and 28524 is 3.

Also check out the Least Common Multiple of 28509 and 28524