What is the Greatest Common Factor of 34317 and 34333?

Greatest common factor (GCF) of 34317 and 34333 is 1.

GCF(34317,34333) = 1

We will now calculate the prime factors of 34317 and 34333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34317 and 34333.

How to find the GCF of 34317 and 34333?

We will first find the prime factorization of 34317 and 34333. After we will calculate the factors of 34317 and 34333 and find the biggest common factor number .

Step-1: Prime Factorization of 34317

Prime factors of 34317 are 3, 31, 41. Prime factorization of 34317 in exponential form is:

34317 = 3³ × 31¹ × 41¹

Step-2: Prime Factorization of 34333

Prime factors of 34333 are 13, 19, 139. Prime factorization of 34333 in exponential form is:

34333 = 13¹ × 19¹ × 139¹

Step-3: Factors of 34317

List of positive integer factors of 34317 that divides 34317 without a remainder.

1, 3, 9, 27, 31, 41, 93, 123, 279, 369, 837, 1107, 1271, 3813, 11439

Step-4: Factors of 34333

List of positive integer factors of 34333 that divides 34317 without a remainder.

1, 13, 19, 139, 247, 1807, 2641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34317 and 34333. The biggest common factor number is the GCF number.
So the greatest common factor 34317 and 34333 is 1.

Also check out the Least Common Multiple of 34317 and 34333