What is the Greatest Common Factor of 34316 and 34333?

Greatest common factor (GCF) of 34316 and 34333 is 1.

GCF(34316,34333) = 1

We will now calculate the prime factors of 34316 and 34333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34316 and 34333.

How to find the GCF of 34316 and 34333?

We will first find the prime factorization of 34316 and 34333. After we will calculate the factors of 34316 and 34333 and find the biggest common factor number .

Step-1: Prime Factorization of 34316

Prime factors of 34316 are 2, 23, 373. Prime factorization of 34316 in exponential form is:

34316 = 2² × 23¹ × 373¹

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 34316

List of positive integer factors of 34316 that divides 34316 without a remainder.

1, 2, 4, 23, 46, 92, 373, 746, 1492, 8579, 17158

Step-4: Factors of 34333

List of positive integer factors of 34333 that divides 34316 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34316 and 34333. The biggest common factor number is the GCF number.
So the greatest common factor 34316 and 34333 is 1.

Also check out the Least Common Multiple of 34316 and 34333