What is the Greatest Common Factor of 81057 and 81075?

Greatest common factor (GCF) of 81057 and 81075 is 3.

GCF(81057,81075) = 3

We will now calculate the prime factors of 81057 and 81075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81057 and 81075.

How to find the GCF of 81057 and 81075?

We will first find the prime factorization of 81057 and 81075. After we will calculate the factors of 81057 and 81075 and find the biggest common factor number .

Step-1: Prime Factorization of 81057

Prime factors of 81057 are 3, 41, 659. Prime factorization of 81057 in exponential form is:

81057 = 3¹ × 41¹ × 659¹

Step-2: 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-3: Factors of 81057

List of positive integer factors of 81057 that divides 81057 without a remainder.

1, 3, 41, 123, 659, 1977, 27019

Step-4: Factors of 81075

List of positive integer factors of 81075 that divides 81057 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81057 and 81075. The biggest common factor number is the GCF number.
So the greatest common factor 81057 and 81075 is 3.

Also check out the Least Common Multiple of 81057 and 81075