What is the Greatest Common Factor of 81330 and 81344?

Greatest common factor (GCF) of 81330 and 81344 is 2.

GCF(81330,81344) = 2

We will now calculate the prime factors of 81330 and 81344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81330 and 81344.

How to find the GCF of 81330 and 81344?

We will first find the prime factorization of 81330 and 81344. After we will calculate the factors of 81330 and 81344 and find the biggest common factor number .

Step-1: Prime Factorization of 81330

Prime factors of 81330 are 2, 3, 5, 2711. Prime factorization of 81330 in exponential form is:

81330 = 2¹ × 3¹ × 5¹ × 2711¹

Step-2: Prime Factorization of 81344

Prime factors of 81344 are 2, 31, 41. Prime factorization of 81344 in exponential form is:

81344 = 2⁶ × 31¹ × 41¹

Step-3: Factors of 81330

List of positive integer factors of 81330 that divides 81330 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2711, 5422, 8133, 13555, 16266, 27110, 40665

Step-4: Factors of 81344

List of positive integer factors of 81344 that divides 81330 without a remainder.

1, 2, 4, 8, 16, 31, 32, 41, 62, 64, 82, 124, 164, 248, 328, 496, 656, 992, 1271, 1312, 1984, 2542, 2624, 5084, 10168, 20336, 40672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81330 and 81344. The biggest common factor number is the GCF number.
So the greatest common factor 81330 and 81344 is 2.

Also check out the Least Common Multiple of 81330 and 81344