What is the Greatest Common Factor of 33398 and 33409?

Greatest common factor (GCF) of 33398 and 33409 is 1.

GCF(33398,33409) = 1

We will now calculate the prime factors of 33398 and 33409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33398 and 33409.

How to find the GCF of 33398 and 33409?

We will first find the prime factorization of 33398 and 33409. After we will calculate the factors of 33398 and 33409 and find the biggest common factor number .

Step-1: Prime Factorization of 33398

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

33398 = 2¹ × 16699¹

Step-2: Prime Factorization of 33409

Prime factors of 33409 are 33409. Prime factorization of 33409 in exponential form is:

33409 = 33409¹

Step-3: Factors of 33398

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

1, 2, 16699

Step-4: Factors of 33409

List of positive integer factors of 33409 that divides 33398 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33398 and 33409. The biggest common factor number is the GCF number.
So the greatest common factor 33398 and 33409 is 1.

Also check out the Least Common Multiple of 33398 and 33409