What is the Greatest Common Factor of 13065 and 13074?

Greatest common factor (GCF) of 13065 and 13074 is 3.

GCF(13065,13074) = 3

We will now calculate the prime factors of 13065 and 13074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13065 and 13074.

How to find the GCF of 13065 and 13074?

We will first find the prime factorization of 13065 and 13074. After we will calculate the factors of 13065 and 13074 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 13074

Prime factors of 13074 are 2, 3, 2179. Prime factorization of 13074 in exponential form is:

13074 = 2¹ × 3¹ × 2179¹

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 13074

List of positive integer factors of 13074 that divides 13065 without a remainder.

1, 2, 3, 6, 2179, 4358, 6537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13065 and 13074. The biggest common factor number is the GCF number.
So the greatest common factor 13065 and 13074 is 3.

Also check out the Least Common Multiple of 13065 and 13074