What is the Greatest Common Factor of 82588 and 82599?

Greatest common factor (GCF) of 82588 and 82599 is 11.

GCF(82588,82599) = 11

We will now calculate the prime factors of 82588 and 82599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82588 and 82599.

How to find the GCF of 82588 and 82599?

We will first find the prime factorization of 82588 and 82599. After we will calculate the factors of 82588 and 82599 and find the biggest common factor number .

Step-1: Prime Factorization of 82588

Prime factors of 82588 are 2, 11, 1877. Prime factorization of 82588 in exponential form is:

82588 = 2² × 11¹ × 1877¹

Step-2: Prime Factorization of 82599

Prime factors of 82599 are 3, 11, 2503. Prime factorization of 82599 in exponential form is:

82599 = 3¹ × 11¹ × 2503¹

Step-3: Factors of 82588

List of positive integer factors of 82588 that divides 82588 without a remainder.

1, 2, 4, 11, 22, 44, 1877, 3754, 7508, 20647, 41294

Step-4: Factors of 82599

List of positive integer factors of 82599 that divides 82588 without a remainder.

1, 3, 11, 33, 2503, 7509, 27533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82588 and 82599. The biggest common factor number is the GCF number.
So the greatest common factor 82588 and 82599 is 11.

Also check out the Least Common Multiple of 82588 and 82599