What is the Greatest Common Factor of 33392 and 33398?

Greatest common factor (GCF) of 33392 and 33398 is 2.

GCF(33392,33398) = 2

We will now calculate the prime factors of 33392 and 33398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33392 and 33398.

How to find the GCF of 33392 and 33398?

We will first find the prime factorization of 33392 and 33398. After we will calculate the factors of 33392 and 33398 and find the biggest common factor number .

Step-1: Prime Factorization of 33392

Prime factors of 33392 are 2, 2087. Prime factorization of 33392 in exponential form is:

33392 = 2⁴ × 2087¹

Step-2: Prime Factorization of 33398

Prime factors of 33398 are 2, 16699. Prime factorization of 33398 in exponential form is:

33398 = 2¹ × 16699¹

Step-3: Factors of 33392

List of positive integer factors of 33392 that divides 33392 without a remainder.

1, 2, 4, 8, 16, 2087, 4174, 8348, 16696

Step-4: Factors of 33398

List of positive integer factors of 33398 that divides 33392 without a remainder.

1, 2, 16699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33392 and 33398. The biggest common factor number is the GCF number.
So the greatest common factor 33392 and 33398 is 2.

Also check out the Least Common Multiple of 33392 and 33398