What is the Greatest Common Factor of 81315 and 81324?

Greatest common factor (GCF) of 81315 and 81324 is 9.

GCF(81315,81324) = 9

We will now calculate the prime factors of 81315 and 81324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81315 and 81324.

How to find the GCF of 81315 and 81324?

We will first find the prime factorization of 81315 and 81324. After we will calculate the factors of 81315 and 81324 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 81324

Prime factors of 81324 are 2, 3, 251. Prime factorization of 81324 in exponential form is:

81324 = 2² × 3⁴ × 251¹

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 81324

List of positive integer factors of 81324 that divides 81315 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 251, 324, 502, 753, 1004, 1506, 2259, 3012, 4518, 6777, 9036, 13554, 20331, 27108, 40662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81315 and 81324. The biggest common factor number is the GCF number.
So the greatest common factor 81315 and 81324 is 9.

Also check out the Least Common Multiple of 81315 and 81324