What is the Greatest Common Factor of 13584 and 13592?

Greatest common factor (GCF) of 13584 and 13592 is 8.

GCF(13584,13592) = 8

We will now calculate the prime factors of 13584 and 13592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13584 and 13592.

How to find the GCF of 13584 and 13592?

We will first find the prime factorization of 13584 and 13592. After we will calculate the factors of 13584 and 13592 and find the biggest common factor number .

Step-1: Prime Factorization of 13584

Prime factors of 13584 are 2, 3, 283. Prime factorization of 13584 in exponential form is:

13584 = 2⁴ × 3¹ × 283¹

Step-2: Prime Factorization of 13592

Prime factors of 13592 are 2, 1699. Prime factorization of 13592 in exponential form is:

13592 = 2³ × 1699¹

Step-3: Factors of 13584

List of positive integer factors of 13584 that divides 13584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 283, 566, 849, 1132, 1698, 2264, 3396, 4528, 6792

Step-4: Factors of 13592

List of positive integer factors of 13592 that divides 13584 without a remainder.

1, 2, 4, 8, 1699, 3398, 6796

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13584 and 13592. The biggest common factor number is the GCF number.
So the greatest common factor 13584 and 13592 is 8.

Also check out the Least Common Multiple of 13584 and 13592