What is the Greatest Common Factor of 72582 and 72591?

Greatest common factor (GCF) of 72582 and 72591 is 3.

GCF(72582,72591) = 3

We will now calculate the prime factors of 72582 and 72591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72582 and 72591.

How to find the GCF of 72582 and 72591?

We will first find the prime factorization of 72582 and 72591. After we will calculate the factors of 72582 and 72591 and find the biggest common factor number .

Step-1: Prime Factorization of 72582

Prime factors of 72582 are 2, 3, 12097. Prime factorization of 72582 in exponential form is:

72582 = 2¹ × 3¹ × 12097¹

Step-2: Prime Factorization of 72591

Prime factors of 72591 are 3, 24197. Prime factorization of 72591 in exponential form is:

72591 = 3¹ × 24197¹

Step-3: Factors of 72582

List of positive integer factors of 72582 that divides 72582 without a remainder.

1, 2, 3, 6, 12097, 24194, 36291

Step-4: Factors of 72591

List of positive integer factors of 72591 that divides 72582 without a remainder.

1, 3, 24197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72582 and 72591. The biggest common factor number is the GCF number.
So the greatest common factor 72582 and 72591 is 3.

Also check out the Least Common Multiple of 72582 and 72591