What is the Greatest Common Factor of 34347 and 34351?

Greatest common factor (GCF) of 34347 and 34351 is 1.

GCF(34347,34351) = 1

We will now calculate the prime factors of 34347 and 34351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34347 and 34351.

How to find the GCF of 34347 and 34351?

We will first find the prime factorization of 34347 and 34351. After we will calculate the factors of 34347 and 34351 and find the biggest common factor number .

Step-1: Prime Factorization of 34347

Prime factors of 34347 are 3, 107. Prime factorization of 34347 in exponential form is:

34347 = 3¹ × 107²

Step-2: Prime Factorization of 34351

Prime factors of 34351 are 34351. Prime factorization of 34351 in exponential form is:

34351 = 34351¹

Step-3: Factors of 34347

List of positive integer factors of 34347 that divides 34347 without a remainder.

1, 3, 107, 321, 11449

Step-4: Factors of 34351

List of positive integer factors of 34351 that divides 34347 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34347 and 34351. The biggest common factor number is the GCF number.
So the greatest common factor 34347 and 34351 is 1.

Also check out the Least Common Multiple of 34347 and 34351