What is the Greatest Common Factor of 80565 and 80571?

Greatest common factor (GCF) of 80565 and 80571 is 3.

GCF(80565,80571) = 3

We will now calculate the prime factors of 80565 and 80571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80565 and 80571.

How to find the GCF of 80565 and 80571?

We will first find the prime factorization of 80565 and 80571. After we will calculate the factors of 80565 and 80571 and find the biggest common factor number .

Step-1: Prime Factorization of 80565

Prime factors of 80565 are 3, 5, 41, 131. Prime factorization of 80565 in exponential form is:

80565 = 3¹ × 5¹ × 41¹ × 131¹

Step-2: Prime Factorization of 80571

Prime factors of 80571 are 3, 107, 251. Prime factorization of 80571 in exponential form is:

80571 = 3¹ × 107¹ × 251¹

Step-3: Factors of 80565

List of positive integer factors of 80565 that divides 80565 without a remainder.

1, 3, 5, 15, 41, 123, 131, 205, 393, 615, 655, 1965, 5371, 16113, 26855

Step-4: Factors of 80571

List of positive integer factors of 80571 that divides 80565 without a remainder.

1, 3, 107, 251, 321, 753, 26857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80565 and 80571. The biggest common factor number is the GCF number.
So the greatest common factor 80565 and 80571 is 3.

Also check out the Least Common Multiple of 80565 and 80571