What is the Greatest Common Factor of 82313 and 82327?

Greatest common factor (GCF) of 82313 and 82327 is 7.

GCF(82313,82327) = 7

We will now calculate the prime factors of 82313 and 82327, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82313 and 82327.

How to find the GCF of 82313 and 82327?

We will first find the prime factorization of 82313 and 82327. After we will calculate the factors of 82313 and 82327 and find the biggest common factor number .

Step-1: Prime Factorization of 82313

Prime factors of 82313 are 7, 11, 1069. Prime factorization of 82313 in exponential form is:

82313 = 7¹ × 11¹ × 1069¹

Step-2: Prime Factorization of 82327

Prime factors of 82327 are 7, 19, 619. Prime factorization of 82327 in exponential form is:

82327 = 7¹ × 19¹ × 619¹

Step-3: Factors of 82313

List of positive integer factors of 82313 that divides 82313 without a remainder.

1, 7, 11, 77, 1069, 7483, 11759

Step-4: Factors of 82327

List of positive integer factors of 82327 that divides 82313 without a remainder.

1, 7, 19, 133, 619, 4333, 11761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82313 and 82327. The biggest common factor number is the GCF number.
So the greatest common factor 82313 and 82327 is 7.

Also check out the Least Common Multiple of 82313 and 82327