What is the Greatest Common Factor of 13040 and 13056?

Greatest common factor (GCF) of 13040 and 13056 is 16.

GCF(13040,13056) = 16

We will now calculate the prime factors of 13040 and 13056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13040 and 13056.

How to find the GCF of 13040 and 13056?

We will first find the prime factorization of 13040 and 13056. After we will calculate the factors of 13040 and 13056 and find the biggest common factor number .

Step-1: Prime Factorization of 13040

Prime factors of 13040 are 2, 5, 163. Prime factorization of 13040 in exponential form is:

13040 = 2⁴ × 5¹ × 163¹

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 13040

List of positive integer factors of 13040 that divides 13040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 163, 326, 652, 815, 1304, 1630, 2608, 3260, 6520

Step-4: Factors of 13056

List of positive integer factors of 13056 that divides 13040 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 13040 and 13056. The biggest common factor number is the GCF number.
So the greatest common factor 13040 and 13056 is 16.

Also check out the Least Common Multiple of 13040 and 13056