What is the Greatest Common Factor of 81315 and 81330?

Greatest common factor (GCF) of 81315 and 81330 is 15.

GCF(81315,81330) = 15

We will now calculate the prime factors of 81315 and 81330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81315 and 81330.

How to find the GCF of 81315 and 81330?

We will first find the prime factorization of 81315 and 81330. After we will calculate the factors of 81315 and 81330 and find the biggest common factor number .

Step-1: Prime Factorization of 81315

Prime factors of 81315 are 3, 5, 13, 139. Prime factorization of 81315 in exponential form is:

81315 = 3² × 5¹ × 13¹ × 139¹

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 81315

List of positive integer factors of 81315 that divides 81315 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 139, 195, 417, 585, 695, 1251, 1807, 2085, 5421, 6255, 9035, 16263, 27105

Step-4: Factors of 81330

List of positive integer factors of 81330 that divides 81315 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 81315 and 81330. The biggest common factor number is the GCF number.
So the greatest common factor 81315 and 81330 is 15.

Also check out the Least Common Multiple of 81315 and 81330