What is the Greatest Common Factor of 13253 and 13271?

Greatest common factor (GCF) of 13253 and 13271 is 1.

GCF(13253,13271) = 1

We will now calculate the prime factors of 13253 and 13271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13253 and 13271.

How to find the GCF of 13253 and 13271?

We will first find the prime factorization of 13253 and 13271. After we will calculate the factors of 13253 and 13271 and find the biggest common factor number .

Step-1: Prime Factorization of 13253

Prime factors of 13253 are 29, 457. Prime factorization of 13253 in exponential form is:

13253 = 29¹ × 457¹

Step-2: Prime Factorization of 13271

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

13271 = 23¹ × 577¹

Step-3: Factors of 13253

List of positive integer factors of 13253 that divides 13253 without a remainder.

1, 29, 457

Step-4: Factors of 13271

List of positive integer factors of 13271 that divides 13253 without a remainder.

1, 23, 577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13253 and 13271. The biggest common factor number is the GCF number.
So the greatest common factor 13253 and 13271 is 1.

Also check out the Least Common Multiple of 13253 and 13271