What is the Greatest Common Factor of 82563 and 82576?

Greatest common factor (GCF) of 82563 and 82576 is 13.

GCF(82563,82576) = 13

We will now calculate the prime factors of 82563 and 82576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82563 and 82576.

How to find the GCF of 82563 and 82576?

We will first find the prime factorization of 82563 and 82576. After we will calculate the factors of 82563 and 82576 and find the biggest common factor number .

Step-1: Prime Factorization of 82563

Prime factors of 82563 are 3, 13, 29, 73. Prime factorization of 82563 in exponential form is:

82563 = 3¹ × 13¹ × 29¹ × 73¹

Step-2: 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-3: Factors of 82563

List of positive integer factors of 82563 that divides 82563 without a remainder.

1, 3, 13, 29, 39, 73, 87, 219, 377, 949, 1131, 2117, 2847, 6351, 27521

Step-4: Factors of 82576

List of positive integer factors of 82576 that divides 82563 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82563 and 82576. The biggest common factor number is the GCF number.
So the greatest common factor 82563 and 82576 is 13.

Also check out the Least Common Multiple of 82563 and 82576