What is the Greatest Common Factor of 33389 and 33402?

Greatest common factor (GCF) of 33389 and 33402 is 1.

GCF(33389,33402) = 1

We will now calculate the prime factors of 33389 and 33402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33389 and 33402.

How to find the GCF of 33389 and 33402?

We will first find the prime factorization of 33389 and 33402. After we will calculate the factors of 33389 and 33402 and find the biggest common factor number .

Step-1: Prime Factorization of 33389

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

33389 = 173¹ × 193¹

Step-2: Prime Factorization of 33402

Prime factors of 33402 are 2, 3, 19, 293. Prime factorization of 33402 in exponential form is:

33402 = 2¹ × 3¹ × 19¹ × 293¹

Step-3: Factors of 33389

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

1, 173, 193

Step-4: Factors of 33402

List of positive integer factors of 33402 that divides 33389 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 293, 586, 879, 1758, 5567, 11134, 16701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33389 and 33402. The biggest common factor number is the GCF number.
So the greatest common factor 33389 and 33402 is 1.

Also check out the Least Common Multiple of 33389 and 33402