What is the Greatest Common Factor of 13569 and 13581?

Greatest common factor (GCF) of 13569 and 13581 is 3.

GCF(13569,13581) = 3

We will now calculate the prime factors of 13569 and 13581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13569 and 13581.

How to find the GCF of 13569 and 13581?

We will first find the prime factorization of 13569 and 13581. After we will calculate the factors of 13569 and 13581 and find the biggest common factor number .

Step-1: Prime Factorization of 13569

Prime factors of 13569 are 3, 4523. Prime factorization of 13569 in exponential form is:

13569 = 3¹ × 4523¹

Step-2: Prime Factorization of 13581

Prime factors of 13581 are 3, 503. Prime factorization of 13581 in exponential form is:

13581 = 3³ × 503¹

Step-3: Factors of 13569

List of positive integer factors of 13569 that divides 13569 without a remainder.

1, 3, 4523

Step-4: Factors of 13581

List of positive integer factors of 13581 that divides 13569 without a remainder.

1, 3, 9, 27, 503, 1509, 4527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13569 and 13581. The biggest common factor number is the GCF number.
So the greatest common factor 13569 and 13581 is 3.

Also check out the Least Common Multiple of 13569 and 13581