What is the Greatest Common Factor of 28509 and 28528?

Greatest common factor (GCF) of 28509 and 28528 is 1.

GCF(28509,28528) = 1

We will now calculate the prime factors of 28509 and 28528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28509 and 28528.

How to find the GCF of 28509 and 28528?

We will first find the prime factorization of 28509 and 28528. After we will calculate the factors of 28509 and 28528 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 28528

Prime factors of 28528 are 2, 1783. Prime factorization of 28528 in exponential form is:

28528 = 2⁴ × 1783¹

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 28528

List of positive integer factors of 28528 that divides 28509 without a remainder.

1, 2, 4, 8, 16, 1783, 3566, 7132, 14264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28509 and 28528. The biggest common factor number is the GCF number.
So the greatest common factor 28509 and 28528 is 1.

Also check out the Least Common Multiple of 28509 and 28528