What is the Greatest Common Factor of 13509 and 13515?

Greatest common factor (GCF) of 13509 and 13515 is 3.

GCF(13509,13515) = 3

We will now calculate the prime factors of 13509 and 13515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13509 and 13515.

How to find the GCF of 13509 and 13515?

We will first find the prime factorization of 13509 and 13515. After we will calculate the factors of 13509 and 13515 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 13515

Prime factors of 13515 are 3, 5, 17, 53. Prime factorization of 13515 in exponential form is:

13515 = 3¹ × 5¹ × 17¹ × 53¹

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 13515

List of positive integer factors of 13515 that divides 13509 without a remainder.

1, 3, 5, 15, 17, 51, 53, 85, 159, 255, 265, 795, 901, 2703, 4505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13509 and 13515. The biggest common factor number is the GCF number.
So the greatest common factor 13509 and 13515 is 3.

Also check out the Least Common Multiple of 13509 and 13515