What is the Greatest Common Factor of 28509 and 28526?

Greatest common factor (GCF) of 28509 and 28526 is 17.

GCF(28509,28526) = 17

We will now calculate the prime factors of 28509 and 28526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28509 and 28526.

How to find the GCF of 28509 and 28526?

We will first find the prime factorization of 28509 and 28526. After we will calculate the factors of 28509 and 28526 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 28526

Prime factors of 28526 are 2, 17, 839. Prime factorization of 28526 in exponential form is:

28526 = 2¹ × 17¹ × 839¹

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 28526

List of positive integer factors of 28526 that divides 28509 without a remainder.

1, 2, 17, 34, 839, 1678, 14263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28509 and 28526. The biggest common factor number is the GCF number.
So the greatest common factor 28509 and 28526 is 17.

Also check out the Least Common Multiple of 28509 and 28526