What is the Greatest Common Factor of 13153 and 13165?

Greatest common factor (GCF) of 13153 and 13165 is 1.

GCF(13153,13165) = 1

We will now calculate the prime factors of 13153 and 13165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13153 and 13165.

How to find the GCF of 13153 and 13165?

We will first find the prime factorization of 13153 and 13165. After we will calculate the factors of 13153 and 13165 and find the biggest common factor number .

Step-1: Prime Factorization of 13153

Prime factors of 13153 are 7, 1879. Prime factorization of 13153 in exponential form is:

13153 = 7¹ × 1879¹

Step-2: Prime Factorization of 13165

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

13165 = 5¹ × 2633¹

Step-3: Factors of 13153

List of positive integer factors of 13153 that divides 13153 without a remainder.

1, 7, 1879

Step-4: Factors of 13165

List of positive integer factors of 13165 that divides 13153 without a remainder.

1, 5, 2633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13153 and 13165. The biggest common factor number is the GCF number.
So the greatest common factor 13153 and 13165 is 1.

Also check out the Least Common Multiple of 13153 and 13165