What is the Greatest Common Factor of 13056 and 13071?

Greatest common factor (GCF) of 13056 and 13071 is 3.

GCF(13056,13071) = 3

We will now calculate the prime factors of 13056 and 13071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13056 and 13071.

How to find the GCF of 13056 and 13071?

We will first find the prime factorization of 13056 and 13071. After we will calculate the factors of 13056 and 13071 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 13071

Prime factors of 13071 are 3, 4357. Prime factorization of 13071 in exponential form is:

13071 = 3¹ × 4357¹

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 13071

List of positive integer factors of 13071 that divides 13056 without a remainder.

1, 3, 4357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13056 and 13071. The biggest common factor number is the GCF number.
So the greatest common factor 13056 and 13071 is 3.

Also check out the Least Common Multiple of 13056 and 13071