What is the Greatest Common Factor of 33342 and 33346?

Greatest common factor (GCF) of 33342 and 33346 is 2.

GCF(33342,33346) = 2

We will now calculate the prime factors of 33342 and 33346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33342 and 33346.

How to find the GCF of 33342 and 33346?

We will first find the prime factorization of 33342 and 33346. After we will calculate the factors of 33342 and 33346 and find the biggest common factor number .

Step-1: Prime Factorization of 33342

Prime factors of 33342 are 2, 3, 5557. Prime factorization of 33342 in exponential form is:

33342 = 2¹ × 3¹ × 5557¹

Step-2: Prime Factorization of 33346

Prime factors of 33346 are 2, 16673. Prime factorization of 33346 in exponential form is:

33346 = 2¹ × 16673¹

Step-3: Factors of 33342

List of positive integer factors of 33342 that divides 33342 without a remainder.

1, 2, 3, 6, 5557, 11114, 16671

Step-4: Factors of 33346

List of positive integer factors of 33346 that divides 33342 without a remainder.

1, 2, 16673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33342 and 33346. The biggest common factor number is the GCF number.
So the greatest common factor 33342 and 33346 is 2.

Also check out the Least Common Multiple of 33342 and 33346