What is the Greatest Common Factor of 13509 and 13528?

Greatest common factor (GCF) of 13509 and 13528 is 19.

GCF(13509,13528) = 19

We will now calculate the prime factors of 13509 and 13528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13509 and 13528.

How to find the GCF of 13509 and 13528?

We will first find the prime factorization of 13509 and 13528. After we will calculate the factors of 13509 and 13528 and find the biggest common factor number .

Step-1: Prime Factorization of 13509

Prime factors of 13509 are 3, 19, 79. Prime factorization of 13509 in exponential form is:

13509 = 3² × 19¹ × 79¹

Step-2: Prime Factorization of 13528

Prime factors of 13528 are 2, 19, 89. Prime factorization of 13528 in exponential form is:

13528 = 2³ × 19¹ × 89¹

Step-3: Factors of 13509

List of positive integer factors of 13509 that divides 13509 without a remainder.

1, 3, 9, 19, 57, 79, 171, 237, 711, 1501, 4503

Step-4: Factors of 13528

List of positive integer factors of 13528 that divides 13509 without a remainder.

1, 2, 4, 8, 19, 38, 76, 89, 152, 178, 356, 712, 1691, 3382, 6764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13509 and 13528. The biggest common factor number is the GCF number.
So the greatest common factor 13509 and 13528 is 19.

Also check out the Least Common Multiple of 13509 and 13528