What is the Greatest Common Factor of 13560 and 13569?

Greatest common factor (GCF) of 13560 and 13569 is 3.

GCF(13560,13569) = 3

We will now calculate the prime factors of 13560 and 13569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13560 and 13569.

How to find the GCF of 13560 and 13569?

We will first find the prime factorization of 13560 and 13569. After we will calculate the factors of 13560 and 13569 and find the biggest common factor number .

Step-1: Prime Factorization of 13560

Prime factors of 13560 are 2, 3, 5, 113. Prime factorization of 13560 in exponential form is:

13560 = 2³ × 3¹ × 5¹ × 113¹

Step-2: Prime Factorization of 13569

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

13569 = 3¹ × 4523¹

Step-3: Factors of 13560

List of positive integer factors of 13560 that divides 13560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 113, 120, 226, 339, 452, 565, 678, 904, 1130, 1356, 1695, 2260, 2712, 3390, 4520, 6780

Step-4: Factors of 13569

List of positive integer factors of 13569 that divides 13560 without a remainder.

1, 3, 4523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13560 and 13569. The biggest common factor number is the GCF number.
So the greatest common factor 13560 and 13569 is 3.

Also check out the Least Common Multiple of 13560 and 13569