What is the Greatest Common Factor of 80571 and 80589?

Greatest common factor (GCF) of 80571 and 80589 is 3.

GCF(80571,80589) = 3

We will now calculate the prime factors of 80571 and 80589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80571 and 80589.

How to find the GCF of 80571 and 80589?

We will first find the prime factorization of 80571 and 80589. After we will calculate the factors of 80571 and 80589 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80589

Prime factors of 80589 are 3, 26863. Prime factorization of 80589 in exponential form is:

80589 = 3¹ × 26863¹

Step-3: Factors of 80571

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

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

Step-4: Factors of 80589

List of positive integer factors of 80589 that divides 80571 without a remainder.

1, 3, 26863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80571 and 80589. The biggest common factor number is the GCF number.
So the greatest common factor 80571 and 80589 is 3.

Also check out the Least Common Multiple of 80571 and 80589