What is the Greatest Common Factor of 83309 and 83313?

Greatest common factor (GCF) of 83309 and 83313 is 1.

GCF(83309,83313) = 1

We will now calculate the prime factors of 83309 and 83313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83309 and 83313.

How to find the GCF of 83309 and 83313?

We will first find the prime factorization of 83309 and 83313. After we will calculate the factors of 83309 and 83313 and find the biggest common factor number .

Step-1: Prime Factorization of 83309

Prime factors of 83309 are 227, 367. Prime factorization of 83309 in exponential form is:

83309 = 227¹ × 367¹

Step-2: Prime Factorization of 83313

Prime factors of 83313 are 3, 9257. Prime factorization of 83313 in exponential form is:

83313 = 3² × 9257¹

Step-3: Factors of 83309

List of positive integer factors of 83309 that divides 83309 without a remainder.

1, 227, 367

Step-4: Factors of 83313

List of positive integer factors of 83313 that divides 83309 without a remainder.

1, 3, 9, 9257, 27771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83309 and 83313. The biggest common factor number is the GCF number.
So the greatest common factor 83309 and 83313 is 1.

Also check out the Least Common Multiple of 83309 and 83313