What is the Greatest Common Factor of 13575 and 13593?

Greatest common factor (GCF) of 13575 and 13593 is 3.

GCF(13575,13593) = 3

We will now calculate the prime factors of 13575 and 13593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13575 and 13593.

How to find the GCF of 13575 and 13593?

We will first find the prime factorization of 13575 and 13593. After we will calculate the factors of 13575 and 13593 and find the biggest common factor number .

Step-1: Prime Factorization of 13575

Prime factors of 13575 are 3, 5, 181. Prime factorization of 13575 in exponential form is:

13575 = 3¹ × 5² × 181¹

Step-2: Prime Factorization of 13593

Prime factors of 13593 are 3, 23, 197. Prime factorization of 13593 in exponential form is:

13593 = 3¹ × 23¹ × 197¹

Step-3: Factors of 13575

List of positive integer factors of 13575 that divides 13575 without a remainder.

1, 3, 5, 15, 25, 75, 181, 543, 905, 2715, 4525

Step-4: Factors of 13593

List of positive integer factors of 13593 that divides 13575 without a remainder.

1, 3, 23, 69, 197, 591, 4531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13575 and 13593. The biggest common factor number is the GCF number.
So the greatest common factor 13575 and 13593 is 3.

Also check out the Least Common Multiple of 13575 and 13593