What is the Greatest Common Factor of 72558 and 72571?

Greatest common factor (GCF) of 72558 and 72571 is 1.

GCF(72558,72571) = 1

We will now calculate the prime factors of 72558 and 72571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72558 and 72571.

How to find the GCF of 72558 and 72571?

We will first find the prime factorization of 72558 and 72571. After we will calculate the factors of 72558 and 72571 and find the biggest common factor number .

Step-1: Prime Factorization of 72558

Prime factors of 72558 are 2, 3, 29, 139. Prime factorization of 72558 in exponential form is:

72558 = 2¹ × 3² × 29¹ × 139¹

Step-2: Prime Factorization of 72571

Prime factors of 72571 are 31, 2341. Prime factorization of 72571 in exponential form is:

72571 = 31¹ × 2341¹

Step-3: Factors of 72558

List of positive integer factors of 72558 that divides 72558 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 139, 174, 261, 278, 417, 522, 834, 1251, 2502, 4031, 8062, 12093, 24186, 36279

Step-4: Factors of 72571

List of positive integer factors of 72571 that divides 72558 without a remainder.

1, 31, 2341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72558 and 72571. The biggest common factor number is the GCF number.
So the greatest common factor 72558 and 72571 is 1.

Also check out the Least Common Multiple of 72558 and 72571