What is the Greatest Common Factor of 13038 and 13045?

Greatest common factor (GCF) of 13038 and 13045 is 1.

GCF(13038,13045) = 1

We will now calculate the prime factors of 13038 and 13045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13038 and 13045.

How to find the GCF of 13038 and 13045?

We will first find the prime factorization of 13038 and 13045. After we will calculate the factors of 13038 and 13045 and find the biggest common factor number .

Step-1: Prime Factorization of 13038

Prime factors of 13038 are 2, 3, 41, 53. Prime factorization of 13038 in exponential form is:

13038 = 2¹ × 3¹ × 41¹ × 53¹

Step-2: Prime Factorization of 13045

Prime factors of 13045 are 5, 2609. Prime factorization of 13045 in exponential form is:

13045 = 5¹ × 2609¹

Step-3: Factors of 13038

List of positive integer factors of 13038 that divides 13038 without a remainder.

1, 2, 3, 6, 41, 53, 82, 106, 123, 159, 246, 318, 2173, 4346, 6519

Step-4: Factors of 13045

List of positive integer factors of 13045 that divides 13038 without a remainder.

1, 5, 2609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13038 and 13045. The biggest common factor number is the GCF number.
So the greatest common factor 13038 and 13045 is 1.

Also check out the Least Common Multiple of 13038 and 13045