What is the Greatest Common Factor of 13271 and 13289?

Greatest common factor (GCF) of 13271 and 13289 is 1.

GCF(13271,13289) = 1

We will now calculate the prime factors of 13271 and 13289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13271 and 13289.

How to find the GCF of 13271 and 13289?

We will first find the prime factorization of 13271 and 13289. After we will calculate the factors of 13271 and 13289 and find the biggest common factor number .

Step-1: Prime Factorization of 13271

Prime factors of 13271 are 23, 577. Prime factorization of 13271 in exponential form is:

13271 = 23¹ × 577¹

Step-2: Prime Factorization of 13289

Prime factors of 13289 are 97, 137. Prime factorization of 13289 in exponential form is:

13289 = 97¹ × 137¹

Step-3: Factors of 13271

List of positive integer factors of 13271 that divides 13271 without a remainder.

1, 23, 577

Step-4: Factors of 13289

List of positive integer factors of 13289 that divides 13271 without a remainder.

1, 97, 137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13271 and 13289. The biggest common factor number is the GCF number.
So the greatest common factor 13271 and 13289 is 1.

Also check out the Least Common Multiple of 13271 and 13289