What is the Greatest Common Factor of 13165 and 13171?

Greatest common factor (GCF) of 13165 and 13171 is 1.

GCF(13165,13171) = 1

We will now calculate the prime factors of 13165 and 13171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13165 and 13171.

How to find the GCF of 13165 and 13171?

We will first find the prime factorization of 13165 and 13171. After we will calculate the factors of 13165 and 13171 and find the biggest common factor number .

Step-1: Prime Factorization of 13165

Prime factors of 13165 are 5, 2633. Prime factorization of 13165 in exponential form is:

13165 = 5¹ × 2633¹

Step-2: Prime Factorization of 13171

Prime factors of 13171 are 13171. Prime factorization of 13171 in exponential form is:

13171 = 13171¹

Step-3: Factors of 13165

List of positive integer factors of 13165 that divides 13165 without a remainder.

1, 5, 2633

Step-4: Factors of 13171

List of positive integer factors of 13171 that divides 13165 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13165 and 13171. The biggest common factor number is the GCF number.
So the greatest common factor 13165 and 13171 is 1.

Also check out the Least Common Multiple of 13165 and 13171