What is the Greatest Common Factor of 33334 and 33338?

Greatest common factor (GCF) of 33334 and 33338 is 2.

GCF(33334,33338) = 2

We will now calculate the prime factors of 33334 and 33338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33334 and 33338.

How to find the GCF of 33334 and 33338?

We will first find the prime factorization of 33334 and 33338. After we will calculate the factors of 33334 and 33338 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 33338

Prime factors of 33338 are 2, 79, 211. Prime factorization of 33338 in exponential form is:

33338 = 2¹ × 79¹ × 211¹

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 33338

List of positive integer factors of 33338 that divides 33334 without a remainder.

1, 2, 79, 158, 211, 422, 16669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33334 and 33338. The biggest common factor number is the GCF number.
So the greatest common factor 33334 and 33338 is 2.

Also check out the Least Common Multiple of 33334 and 33338