What is the Greatest Common Factor of 82299 and 82316?

Greatest common factor (GCF) of 82299 and 82316 is 1.

GCF(82299,82316) = 1

We will now calculate the prime factors of 82299 and 82316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82299 and 82316.

How to find the GCF of 82299 and 82316?

We will first find the prime factorization of 82299 and 82316. After we will calculate the factors of 82299 and 82316 and find the biggest common factor number .

Step-1: Prime Factorization of 82299

Prime factors of 82299 are 3, 7, 3919. Prime factorization of 82299 in exponential form is:

82299 = 3¹ × 7¹ × 3919¹

Step-2: Prime Factorization of 82316

Prime factors of 82316 are 2, 13, 1583. Prime factorization of 82316 in exponential form is:

82316 = 2² × 13¹ × 1583¹

Step-3: Factors of 82299

List of positive integer factors of 82299 that divides 82299 without a remainder.

1, 3, 7, 21, 3919, 11757, 27433

Step-4: Factors of 82316

List of positive integer factors of 82316 that divides 82299 without a remainder.

1, 2, 4, 13, 26, 52, 1583, 3166, 6332, 20579, 41158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82299 and 82316. The biggest common factor number is the GCF number.
So the greatest common factor 82299 and 82316 is 1.

Also check out the Least Common Multiple of 82299 and 82316