What is the Greatest Common Factor of 81321 and 81330?

Greatest common factor (GCF) of 81321 and 81330 is 3.

GCF(81321,81330) = 3

We will now calculate the prime factors of 81321 and 81330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81321 and 81330.

How to find the GCF of 81321 and 81330?

We will first find the prime factorization of 81321 and 81330. After we will calculate the factors of 81321 and 81330 and find the biggest common factor number .

Step-1: Prime Factorization of 81321

Prime factors of 81321 are 3, 27107. Prime factorization of 81321 in exponential form is:

81321 = 3¹ × 27107¹

Step-2: 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-3: Factors of 81321

List of positive integer factors of 81321 that divides 81321 without a remainder.

1, 3, 27107

Step-4: Factors of 81330

List of positive integer factors of 81330 that divides 81321 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81321 and 81330. The biggest common factor number is the GCF number.
So the greatest common factor 81321 and 81330 is 3.

Also check out the Least Common Multiple of 81321 and 81330