What is the Greatest Common Factor of 81328 and 81343?

Greatest common factor (GCF) of 81328 and 81343 is 1.

GCF(81328,81343) = 1

We will now calculate the prime factors of 81328 and 81343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81328 and 81343.

How to find the GCF of 81328 and 81343?

We will first find the prime factorization of 81328 and 81343. After we will calculate the factors of 81328 and 81343 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 81343

Prime factors of 81343 are 81343. Prime factorization of 81343 in exponential form is:

81343 = 81343¹

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 81343

List of positive integer factors of 81343 that divides 81328 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81328 and 81343. The biggest common factor number is the GCF number.
So the greatest common factor 81328 and 81343 is 1.

Also check out the Least Common Multiple of 81328 and 81343