What is the Greatest Common Factor of 13038 and 13053?

Greatest common factor (GCF) of 13038 and 13053 is 3.

GCF(13038,13053) = 3

We will now calculate the prime factors of 13038 and 13053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13038 and 13053.

How to find the GCF of 13038 and 13053?

We will first find the prime factorization of 13038 and 13053. After we will calculate the factors of 13038 and 13053 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 13053

Prime factors of 13053 are 3, 19, 229. Prime factorization of 13053 in exponential form is:

13053 = 3¹ × 19¹ × 229¹

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 13053

List of positive integer factors of 13053 that divides 13038 without a remainder.

1, 3, 19, 57, 229, 687, 4351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13038 and 13053. The biggest common factor number is the GCF number.
So the greatest common factor 13038 and 13053 is 3.

Also check out the Least Common Multiple of 13038 and 13053