What is the Greatest Common Factor of 28509 and 28522?

Greatest common factor (GCF) of 28509 and 28522 is 13.

GCF(28509,28522) = 13

We will now calculate the prime factors of 28509 and 28522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28509 and 28522.

How to find the GCF of 28509 and 28522?

We will first find the prime factorization of 28509 and 28522. After we will calculate the factors of 28509 and 28522 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 28522

Prime factors of 28522 are 2, 13, 1097. Prime factorization of 28522 in exponential form is:

28522 = 2¹ × 13¹ × 1097¹

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 28522

List of positive integer factors of 28522 that divides 28509 without a remainder.

1, 2, 13, 26, 1097, 2194, 14261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28509 and 28522. The biggest common factor number is the GCF number.
So the greatest common factor 28509 and 28522 is 13.

Also check out the Least Common Multiple of 28509 and 28522