What is the Greatest Common Factor of 82303 and 82311?

Greatest common factor (GCF) of 82303 and 82311 is 1.

GCF(82303,82311) = 1

We will now calculate the prime factors of 82303 and 82311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82303 and 82311.

How to find the GCF of 82303 and 82311?

We will first find the prime factorization of 82303 and 82311. After we will calculate the factors of 82303 and 82311 and find the biggest common factor number .

Step-1: Prime Factorization of 82303

Prime factors of 82303 are 13, 487. Prime factorization of 82303 in exponential form is:

82303 = 13² × 487¹

Step-2: Prime Factorization of 82311

Prime factors of 82311 are 3, 27437. Prime factorization of 82311 in exponential form is:

82311 = 3¹ × 27437¹

Step-3: Factors of 82303

List of positive integer factors of 82303 that divides 82303 without a remainder.

1, 13, 169, 487, 6331

Step-4: Factors of 82311

List of positive integer factors of 82311 that divides 82303 without a remainder.

1, 3, 27437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82303 and 82311. The biggest common factor number is the GCF number.
So the greatest common factor 82303 and 82311 is 1.

Also check out the Least Common Multiple of 82303 and 82311