What is the Greatest Common Factor of 83397 and 83409?

Greatest common factor (GCF) of 83397 and 83409 is 3.

GCF(83397,83409) = 3

We will now calculate the prime factors of 83397 and 83409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83397 and 83409.

How to find the GCF of 83397 and 83409?

We will first find the prime factorization of 83397 and 83409. After we will calculate the factors of 83397 and 83409 and find the biggest common factor number .

Step-1: Prime Factorization of 83397

Prime factors of 83397 are 3, 27799. Prime factorization of 83397 in exponential form is:

83397 = 3¹ × 27799¹

Step-2: Prime Factorization of 83409

Prime factors of 83409 are 3, 27803. Prime factorization of 83409 in exponential form is:

83409 = 3¹ × 27803¹

Step-3: Factors of 83397

List of positive integer factors of 83397 that divides 83397 without a remainder.

1, 3, 27799

Step-4: Factors of 83409

List of positive integer factors of 83409 that divides 83397 without a remainder.

1, 3, 27803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83397 and 83409. The biggest common factor number is the GCF number.
So the greatest common factor 83397 and 83409 is 3.

Also check out the Least Common Multiple of 83397 and 83409