What is the Greatest Common Factor of 81328 and 81344?

Greatest common factor (GCF) of 81328 and 81344 is 16.

GCF(81328,81344) = 16

We will now calculate the prime factors of 81328 and 81344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81328 and 81344.

How to find the GCF of 81328 and 81344?

We will first find the prime factorization of 81328 and 81344. After we will calculate the factors of 81328 and 81344 and find the biggest common factor number .

Step-1: Prime Factorization of 81328

Prime factors of 81328 are 2, 13, 17, 23. Prime factorization of 81328 in exponential form is:

81328 = 2⁴ × 13¹ × 17¹ × 23¹

Step-2: Prime Factorization of 81344

Prime factors of 81344 are 2, 31, 41. Prime factorization of 81344 in exponential form is:

81344 = 2⁶ × 31¹ × 41¹

Step-3: Factors of 81328

List of positive integer factors of 81328 that divides 81328 without a remainder.

1, 2, 4, 8, 13, 16, 17, 23, 26, 34, 46, 52, 68, 92, 104, 136, 184, 208, 221, 272, 299, 368, 391, 442, 598, 782, 884, 1196, 1564, 1768, 2392, 3128, 3536, 4784, 5083, 6256, 10166, 20332, 40664

Step-4: Factors of 81344

List of positive integer factors of 81344 that divides 81328 without a remainder.

1, 2, 4, 8, 16, 31, 32, 41, 62, 64, 82, 124, 164, 248, 328, 496, 656, 992, 1271, 1312, 1984, 2542, 2624, 5084, 10168, 20336, 40672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81328 and 81344. The biggest common factor number is the GCF number.
So the greatest common factor 81328 and 81344 is 16.

Also check out the Least Common Multiple of 81328 and 81344