What is the Greatest Common Factor of 13575 and 13594?

Greatest common factor (GCF) of 13575 and 13594 is 1.

GCF(13575,13594) = 1

We will now calculate the prime factors of 13575 and 13594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13575 and 13594.

How to find the GCF of 13575 and 13594?

We will first find the prime factorization of 13575 and 13594. After we will calculate the factors of 13575 and 13594 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 13594

Prime factors of 13594 are 2, 7, 971. Prime factorization of 13594 in exponential form is:

13594 = 2¹ × 7¹ × 971¹

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 13594

List of positive integer factors of 13594 that divides 13575 without a remainder.

1, 2, 7, 14, 971, 1942, 6797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13575 and 13594. The biggest common factor number is the GCF number.
So the greatest common factor 13575 and 13594 is 1.

Also check out the Least Common Multiple of 13575 and 13594