What is the Greatest Common Factor of 81328 and 81341?

Greatest common factor (GCF) of 81328 and 81341 is 13.

GCF(81328,81341) = 13

We will now calculate the prime factors of 81328 and 81341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81328 and 81341.

How to find the GCF of 81328 and 81341?

We will first find the prime factorization of 81328 and 81341. After we will calculate the factors of 81328 and 81341 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 81341

Prime factors of 81341 are 13, 6257. Prime factorization of 81341 in exponential form is:

81341 = 13¹ × 6257¹

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 81341

List of positive integer factors of 81341 that divides 81328 without a remainder.

1, 13, 6257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81328 and 81341. The biggest common factor number is the GCF number.
So the greatest common factor 81328 and 81341 is 13.

Also check out the Least Common Multiple of 81328 and 81341