What is the Greatest Common Factor of 81075 and 81084?

Greatest common factor (GCF) of 81075 and 81084 is 3.

GCF(81075,81084) = 3

We will now calculate the prime factors of 81075 and 81084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81075 and 81084.

How to find the GCF of 81075 and 81084?

We will first find the prime factorization of 81075 and 81084. After we will calculate the factors of 81075 and 81084 and find the biggest common factor number .

Step-1: Prime Factorization of 81075

Prime factors of 81075 are 3, 5, 23, 47. Prime factorization of 81075 in exponential form is:

81075 = 3¹ × 5² × 23¹ × 47¹

Step-2: Prime Factorization of 81084

Prime factors of 81084 are 2, 3, 29, 233. Prime factorization of 81084 in exponential form is:

81084 = 2² × 3¹ × 29¹ × 233¹

Step-3: Factors of 81075

List of positive integer factors of 81075 that divides 81075 without a remainder.

1, 3, 5, 15, 23, 25, 47, 69, 75, 115, 141, 235, 345, 575, 705, 1081, 1175, 1725, 3243, 3525, 5405, 16215, 27025

Step-4: Factors of 81084

List of positive integer factors of 81084 that divides 81075 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 233, 348, 466, 699, 932, 1398, 2796, 6757, 13514, 20271, 27028, 40542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81075 and 81084. The biggest common factor number is the GCF number.
So the greatest common factor 81075 and 81084 is 3.

Also check out the Least Common Multiple of 81075 and 81084