What is the Greatest Common Factor of 13065 and 13082?

Greatest common factor (GCF) of 13065 and 13082 is 1.

GCF(13065,13082) = 1

We will now calculate the prime factors of 13065 and 13082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13065 and 13082.

How to find the GCF of 13065 and 13082?

We will first find the prime factorization of 13065 and 13082. After we will calculate the factors of 13065 and 13082 and find the biggest common factor number .

Step-1: Prime Factorization of 13065

Prime factors of 13065 are 3, 5, 13, 67. Prime factorization of 13065 in exponential form is:

13065 = 3¹ × 5¹ × 13¹ × 67¹

Step-2: Prime Factorization of 13082

Prime factors of 13082 are 2, 31, 211. Prime factorization of 13082 in exponential form is:

13082 = 2¹ × 31¹ × 211¹

Step-3: Factors of 13065

List of positive integer factors of 13065 that divides 13065 without a remainder.

1, 3, 5, 13, 15, 39, 65, 67, 195, 201, 335, 871, 1005, 2613, 4355

Step-4: Factors of 13082

List of positive integer factors of 13082 that divides 13065 without a remainder.

1, 2, 31, 62, 211, 422, 6541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13065 and 13082. The biggest common factor number is the GCF number.
So the greatest common factor 13065 and 13082 is 1.

Also check out the Least Common Multiple of 13065 and 13082