What is the Greatest Common Factor of 13065 and 13078?

Greatest common factor (GCF) of 13065 and 13078 is 13.

GCF(13065,13078) = 13

We will now calculate the prime factors of 13065 and 13078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13065 and 13078.

How to find the GCF of 13065 and 13078?

We will first find the prime factorization of 13065 and 13078. After we will calculate the factors of 13065 and 13078 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 13078

Prime factors of 13078 are 2, 13, 503. Prime factorization of 13078 in exponential form is:

13078 = 2¹ × 13¹ × 503¹

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 13078

List of positive integer factors of 13078 that divides 13065 without a remainder.

1, 2, 13, 26, 503, 1006, 6539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13065 and 13078. The biggest common factor number is the GCF number.
So the greatest common factor 13065 and 13078 is 13.

Also check out the Least Common Multiple of 13065 and 13078