What is the Greatest Common Factor of 81328 and 81346?

Greatest common factor (GCF) of 81328 and 81346 is 2.

GCF(81328,81346) = 2

We will now calculate the prime factors of 81328 and 81346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81328 and 81346.

How to find the GCF of 81328 and 81346?

We will first find the prime factorization of 81328 and 81346. After we will calculate the factors of 81328 and 81346 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 81346

Prime factors of 81346 are 2, 89, 457. Prime factorization of 81346 in exponential form is:

81346 = 2¹ × 89¹ × 457¹

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 81346

List of positive integer factors of 81346 that divides 81328 without a remainder.

1, 2, 89, 178, 457, 914, 40673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81328 and 81346. The biggest common factor number is the GCF number.
So the greatest common factor 81328 and 81346 is 2.

Also check out the Least Common Multiple of 81328 and 81346