What is the Greatest Common Factor of 34323 and 34338?

Greatest common factor (GCF) of 34323 and 34338 is 3.

GCF(34323,34338) = 3

We will now calculate the prime factors of 34323 and 34338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34323 and 34338.

How to find the GCF of 34323 and 34338?

We will first find the prime factorization of 34323 and 34338. After we will calculate the factors of 34323 and 34338 and find the biggest common factor number .

Step-1: Prime Factorization of 34323

Prime factors of 34323 are 3, 17, 673. Prime factorization of 34323 in exponential form is:

34323 = 3¹ × 17¹ × 673¹

Step-2: 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-3: Factors of 34323

List of positive integer factors of 34323 that divides 34323 without a remainder.

1, 3, 17, 51, 673, 2019, 11441

Step-4: Factors of 34338

List of positive integer factors of 34338 that divides 34323 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34323 and 34338. The biggest common factor number is the GCF number.
So the greatest common factor 34323 and 34338 is 3.

Also check out the Least Common Multiple of 34323 and 34338