What is the Greatest Common Factor of 13056 and 13074?

Greatest common factor (GCF) of 13056 and 13074 is 6.

GCF(13056,13074) = 6

We will now calculate the prime factors of 13056 and 13074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13056 and 13074.

How to find the GCF of 13056 and 13074?

We will first find the prime factorization of 13056 and 13074. After we will calculate the factors of 13056 and 13074 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 13074

Prime factors of 13074 are 2, 3, 2179. Prime factorization of 13074 in exponential form is:

13074 = 2¹ × 3¹ × 2179¹

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 13074

List of positive integer factors of 13074 that divides 13056 without a remainder.

1, 2, 3, 6, 2179, 4358, 6537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13056 and 13074. The biggest common factor number is the GCF number.
So the greatest common factor 13056 and 13074 is 6.

Also check out the Least Common Multiple of 13056 and 13074