What is the Greatest Common Factor of 33334 and 33341?

Greatest common factor (GCF) of 33334 and 33341 is 7.

GCF(33334,33341) = 7

We will now calculate the prime factors of 33334 and 33341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33334 and 33341.

How to find the GCF of 33334 and 33341?

We will first find the prime factorization of 33334 and 33341. After we will calculate the factors of 33334 and 33341 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 33341

Prime factors of 33341 are 7, 11, 433. Prime factorization of 33341 in exponential form is:

33341 = 7¹ × 11¹ × 433¹

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 33341

List of positive integer factors of 33341 that divides 33334 without a remainder.

1, 7, 11, 77, 433, 3031, 4763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33334 and 33341. The biggest common factor number is the GCF number.
So the greatest common factor 33334 and 33341 is 7.

Also check out the Least Common Multiple of 33334 and 33341