What is the Greatest Common Factor of 33334 and 33343?

Greatest common factor (GCF) of 33334 and 33343 is 1.

GCF(33334,33343) = 1

We will now calculate the prime factors of 33334 and 33343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33334 and 33343.

How to find the GCF of 33334 and 33343?

We will first find the prime factorization of 33334 and 33343. After we will calculate the factors of 33334 and 33343 and find the biggest common factor number .

Step-1: Prime Factorization of 33334

Prime factors of 33334 are 2, 7, 2381. Prime factorization of 33334 in exponential form is:

33334 = 2¹ × 7¹ × 2381¹

Step-2: Prime Factorization of 33343

Prime factors of 33343 are 33343. Prime factorization of 33343 in exponential form is:

33343 = 33343¹

Step-3: Factors of 33334

List of positive integer factors of 33334 that divides 33334 without a remainder.

1, 2, 7, 14, 2381, 4762, 16667

Step-4: Factors of 33343

List of positive integer factors of 33343 that divides 33334 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33334 and 33343. The biggest common factor number is the GCF number.
So the greatest common factor 33334 and 33343 is 1.

Also check out the Least Common Multiple of 33334 and 33343