What is the Greatest Common Factor of 28509 and 28529?

Greatest common factor (GCF) of 28509 and 28529 is 1.

GCF(28509,28529) = 1

We will now calculate the prime factors of 28509 and 28529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28509 and 28529.

How to find the GCF of 28509 and 28529?

We will first find the prime factorization of 28509 and 28529. After we will calculate the factors of 28509 and 28529 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 28529

Prime factors of 28529 are 47, 607. Prime factorization of 28529 in exponential form is:

28529 = 47¹ × 607¹

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 28529

List of positive integer factors of 28529 that divides 28509 without a remainder.

1, 47, 607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28509 and 28529. The biggest common factor number is the GCF number.
So the greatest common factor 28509 and 28529 is 1.

Also check out the Least Common Multiple of 28509 and 28529