What is the Greatest Common Factor of 82576 and 82589?

Greatest common factor (GCF) of 82576 and 82589 is 13.

GCF(82576,82589) = 13

We will now calculate the prime factors of 82576 and 82589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82576 and 82589.

How to find the GCF of 82576 and 82589?

We will first find the prime factorization of 82576 and 82589. After we will calculate the factors of 82576 and 82589 and find the biggest common factor number .

Step-1: Prime Factorization of 82576

Prime factors of 82576 are 2, 13, 397. Prime factorization of 82576 in exponential form is:

82576 = 2⁴ × 13¹ × 397¹

Step-2: Prime Factorization of 82589

Prime factors of 82589 are 13, 6353. Prime factorization of 82589 in exponential form is:

82589 = 13¹ × 6353¹

Step-3: Factors of 82576

List of positive integer factors of 82576 that divides 82576 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 397, 794, 1588, 3176, 5161, 6352, 10322, 20644, 41288

Step-4: Factors of 82589

List of positive integer factors of 82589 that divides 82576 without a remainder.

1, 13, 6353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82576 and 82589. The biggest common factor number is the GCF number.
So the greatest common factor 82576 and 82589 is 13.

Also check out the Least Common Multiple of 82576 and 82589