What is the Greatest Common Factor of 33334 and 33344?

Greatest common factor (GCF) of 33334 and 33344 is 2.

GCF(33334,33344) = 2

We will now calculate the prime factors of 33334 and 33344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33334 and 33344.

How to find the GCF of 33334 and 33344?

We will first find the prime factorization of 33334 and 33344. After we will calculate the factors of 33334 and 33344 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 33344

Prime factors of 33344 are 2, 521. Prime factorization of 33344 in exponential form is:

33344 = 2⁶ × 521¹

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 33344

List of positive integer factors of 33344 that divides 33334 without a remainder.

1, 2, 4, 8, 16, 32, 64, 521, 1042, 2084, 4168, 8336, 16672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33334 and 33344. The biggest common factor number is the GCF number.
So the greatest common factor 33334 and 33344 is 2.

Also check out the Least Common Multiple of 33334 and 33344