What is the Greatest Common Factor of 13056 and 13068?

Greatest common factor (GCF) of 13056 and 13068 is 12.

GCF(13056,13068) = 12

We will now calculate the prime factors of 13056 and 13068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13056 and 13068.

How to find the GCF of 13056 and 13068?

We will first find the prime factorization of 13056 and 13068. After we will calculate the factors of 13056 and 13068 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13068

Prime factors of 13068 are 2, 3, 11. Prime factorization of 13068 in exponential form is:

13068 = 2² × 3³ × 11²

Step-3: Factors of 13056

List of positive integer factors of 13056 that divides 13056 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

Step-4: Factors of 13068

List of positive integer factors of 13068 that divides 13056 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 121, 132, 198, 242, 297, 363, 396, 484, 594, 726, 1089, 1188, 1452, 2178, 3267, 4356, 6534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13056 and 13068. The biggest common factor number is the GCF number.
So the greatest common factor 13056 and 13068 is 12.

Also check out the Least Common Multiple of 13056 and 13068