What is the Greatest Common Factor of 82563 and 82569?

Greatest common factor (GCF) of 82563 and 82569 is 3.

GCF(82563,82569) = 3

We will now calculate the prime factors of 82563 and 82569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82563 and 82569.

How to find the GCF of 82563 and 82569?

We will first find the prime factorization of 82563 and 82569. After we will calculate the factors of 82563 and 82569 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 82569

Prime factors of 82569 are 3, 17, 1619. Prime factorization of 82569 in exponential form is:

82569 = 3¹ × 17¹ × 1619¹

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 82569

List of positive integer factors of 82569 that divides 82563 without a remainder.

1, 3, 17, 51, 1619, 4857, 27523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82563 and 82569. The biggest common factor number is the GCF number.
So the greatest common factor 82563 and 82569 is 3.

Also check out the Least Common Multiple of 82563 and 82569