What is the Greatest Common Factor of 83309 and 83322?

Greatest common factor (GCF) of 83309 and 83322 is 1.

GCF(83309,83322) = 1

We will now calculate the prime factors of 83309 and 83322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83309 and 83322.

How to find the GCF of 83309 and 83322?

We will first find the prime factorization of 83309 and 83322. After we will calculate the factors of 83309 and 83322 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 83322

Prime factors of 83322 are 2, 3, 1543. Prime factorization of 83322 in exponential form is:

83322 = 2¹ × 3³ × 1543¹

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 83322

List of positive integer factors of 83322 that divides 83309 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1543, 3086, 4629, 9258, 13887, 27774, 41661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83309 and 83322. The biggest common factor number is the GCF number.
So the greatest common factor 83309 and 83322 is 1.

Also check out the Least Common Multiple of 83309 and 83322