What is the Greatest Common Factor of 82552 and 82569?

Greatest common factor (GCF) of 82552 and 82569 is 17.

GCF(82552,82569) = 17

We will now calculate the prime factors of 82552 and 82569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82552 and 82569.

How to find the GCF of 82552 and 82569?

We will first find the prime factorization of 82552 and 82569. After we will calculate the factors of 82552 and 82569 and find the biggest common factor number .

Step-1: Prime Factorization of 82552

Prime factors of 82552 are 2, 17, 607. Prime factorization of 82552 in exponential form is:

82552 = 2³ × 17¹ × 607¹

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 82552

List of positive integer factors of 82552 that divides 82552 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 607, 1214, 2428, 4856, 10319, 20638, 41276

Step-4: Factors of 82569

List of positive integer factors of 82569 that divides 82552 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82552 and 82569. The biggest common factor number is the GCF number.
So the greatest common factor 82552 and 82569 is 17.

Also check out the Least Common Multiple of 82552 and 82569