What is the Greatest Common Factor of 81328 and 81342?

Greatest common factor (GCF) of 81328 and 81342 is 2.

GCF(81328,81342) = 2

We will now calculate the prime factors of 81328 and 81342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81328 and 81342.

How to find the GCF of 81328 and 81342?

We will first find the prime factorization of 81328 and 81342. After we will calculate the factors of 81328 and 81342 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 81342

Prime factors of 81342 are 2, 3, 4519. Prime factorization of 81342 in exponential form is:

81342 = 2¹ × 3² × 4519¹

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 81342

List of positive integer factors of 81342 that divides 81328 without a remainder.

1, 2, 3, 6, 9, 18, 4519, 9038, 13557, 27114, 40671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81328 and 81342. The biggest common factor number is the GCF number.
So the greatest common factor 81328 and 81342 is 2.

Also check out the Least Common Multiple of 81328 and 81342