What is the Greatest Common Factor of 33385 and 33389?

Greatest common factor (GCF) of 33385 and 33389 is 1.

GCF(33385,33389) = 1

We will now calculate the prime factors of 33385 and 33389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33385 and 33389.

How to find the GCF of 33385 and 33389?

We will first find the prime factorization of 33385 and 33389. After we will calculate the factors of 33385 and 33389 and find the biggest common factor number .

Step-1: Prime Factorization of 33385

Prime factors of 33385 are 5, 11, 607. Prime factorization of 33385 in exponential form is:

33385 = 5¹ × 11¹ × 607¹

Step-2: Prime Factorization of 33389

Prime factors of 33389 are 173, 193. Prime factorization of 33389 in exponential form is:

33389 = 173¹ × 193¹

Step-3: Factors of 33385

List of positive integer factors of 33385 that divides 33385 without a remainder.

1, 5, 11, 55, 607, 3035, 6677

Step-4: Factors of 33389

List of positive integer factors of 33389 that divides 33385 without a remainder.

1, 173, 193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33385 and 33389. The biggest common factor number is the GCF number.
So the greatest common factor 33385 and 33389 is 1.

Also check out the Least Common Multiple of 33385 and 33389