What is the Greatest Common Factor of 13038 and 13054?

Greatest common factor (GCF) of 13038 and 13054 is 2.

GCF(13038,13054) = 2

We will now calculate the prime factors of 13038 and 13054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13038 and 13054.

How to find the GCF of 13038 and 13054?

We will first find the prime factorization of 13038 and 13054. After we will calculate the factors of 13038 and 13054 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 13054

Prime factors of 13054 are 2, 61, 107. Prime factorization of 13054 in exponential form is:

13054 = 2¹ × 61¹ × 107¹

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 13054

List of positive integer factors of 13054 that divides 13038 without a remainder.

1, 2, 61, 107, 122, 214, 6527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13038 and 13054. The biggest common factor number is the GCF number.
So the greatest common factor 13038 and 13054 is 2.

Also check out the Least Common Multiple of 13038 and 13054