What is the Greatest Common Factor of 13038 and 13056?

Greatest common factor (GCF) of 13038 and 13056 is 6.

GCF(13038,13056) = 6

We will now calculate the prime factors of 13038 and 13056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13038 and 13056.

How to find the GCF of 13038 and 13056?

We will first find the prime factorization of 13038 and 13056. After we will calculate the factors of 13038 and 13056 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 13056

Prime factors of 13056 are 2, 3, 17. Prime factorization of 13056 in exponential form is:

13056 = 2⁸ × 3¹ × 17¹

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 13056

List of positive integer factors of 13056 that divides 13038 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 128, 136, 192, 204, 256, 272, 384, 408, 544, 768, 816, 1088, 1632, 2176, 3264, 4352, 6528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13038 and 13056. The biggest common factor number is the GCF number.
So the greatest common factor 13038 and 13056 is 6.

Also check out the Least Common Multiple of 13038 and 13056