What is the Greatest Common Factor of 81328 and 81339?

Greatest common factor (GCF) of 81328 and 81339 is 1.

GCF(81328,81339) = 1

We will now calculate the prime factors of 81328 and 81339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81328 and 81339.

How to find the GCF of 81328 and 81339?

We will first find the prime factorization of 81328 and 81339. After we will calculate the factors of 81328 and 81339 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 81339

Prime factors of 81339 are 3, 19, 1427. Prime factorization of 81339 in exponential form is:

81339 = 3¹ × 19¹ × 1427¹

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 81339

List of positive integer factors of 81339 that divides 81328 without a remainder.

1, 3, 19, 57, 1427, 4281, 27113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81328 and 81339. The biggest common factor number is the GCF number.
So the greatest common factor 81328 and 81339 is 1.

Also check out the Least Common Multiple of 81328 and 81339