What is the Greatest Common Factor of 82299 and 82313?

Greatest common factor (GCF) of 82299 and 82313 is 7.

GCF(82299,82313) = 7

We will now calculate the prime factors of 82299 and 82313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82299 and 82313.

How to find the GCF of 82299 and 82313?

We will first find the prime factorization of 82299 and 82313. After we will calculate the factors of 82299 and 82313 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 82313

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

82313 = 7¹ × 11¹ × 1069¹

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 82313

List of positive integer factors of 82313 that divides 82299 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82299 and 82313. The biggest common factor number is the GCF number.
So the greatest common factor 82299 and 82313 is 7.

Also check out the Least Common Multiple of 82299 and 82313