What is the Greatest Common Factor of 83298 and 83309?

Greatest common factor (GCF) of 83298 and 83309 is 1.

GCF(83298,83309) = 1

We will now calculate the prime factors of 83298 and 83309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83298 and 83309.

How to find the GCF of 83298 and 83309?

We will first find the prime factorization of 83298 and 83309. After we will calculate the factors of 83298 and 83309 and find the biggest common factor number .

Step-1: Prime Factorization of 83298

Prime factors of 83298 are 2, 3, 13883. Prime factorization of 83298 in exponential form is:

83298 = 2¹ × 3¹ × 13883¹

Step-2: Prime Factorization of 83309

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

83309 = 227¹ × 367¹

Step-3: Factors of 83298

List of positive integer factors of 83298 that divides 83298 without a remainder.

1, 2, 3, 6, 13883, 27766, 41649

Step-4: Factors of 83309

List of positive integer factors of 83309 that divides 83298 without a remainder.

1, 227, 367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83298 and 83309. The biggest common factor number is the GCF number.
So the greatest common factor 83298 and 83309 is 1.

Also check out the Least Common Multiple of 83298 and 83309