What is the Greatest Common Factor of 13038 and 13042?

Greatest common factor (GCF) of 13038 and 13042 is 2.

GCF(13038,13042) = 2

We will now calculate the prime factors of 13038 and 13042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13038 and 13042.

How to find the GCF of 13038 and 13042?

We will first find the prime factorization of 13038 and 13042. After we will calculate the factors of 13038 and 13042 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 13042

Prime factors of 13042 are 2, 6521. Prime factorization of 13042 in exponential form is:

13042 = 2¹ × 6521¹

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 13042

List of positive integer factors of 13042 that divides 13038 without a remainder.

1, 2, 6521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13038 and 13042. The biggest common factor number is the GCF number.
So the greatest common factor 13038 and 13042 is 2.

Also check out the Least Common Multiple of 13038 and 13042