What is the Greatest Common Factor of 34338 and 34347?

Greatest common factor (GCF) of 34338 and 34347 is 3.

GCF(34338,34347) = 3

We will now calculate the prime factors of 34338 and 34347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34338 and 34347.

How to find the GCF of 34338 and 34347?

We will first find the prime factorization of 34338 and 34347. After we will calculate the factors of 34338 and 34347 and find the biggest common factor number .

Step-1: Prime Factorization of 34338

Prime factors of 34338 are 2, 3, 59, 97. Prime factorization of 34338 in exponential form is:

34338 = 2¹ × 3¹ × 59¹ × 97¹

Step-2: Prime Factorization of 34347

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

34347 = 3¹ × 107²

Step-3: Factors of 34338

List of positive integer factors of 34338 that divides 34338 without a remainder.

1, 2, 3, 6, 59, 97, 118, 177, 194, 291, 354, 582, 5723, 11446, 17169

Step-4: Factors of 34347

List of positive integer factors of 34347 that divides 34338 without a remainder.

1, 3, 107, 321, 11449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34338 and 34347. The biggest common factor number is the GCF number.
So the greatest common factor 34338 and 34347 is 3.

Also check out the Least Common Multiple of 34338 and 34347