What is the Greatest Common Factor of 33378 and 33395?

Greatest common factor (GCF) of 33378 and 33395 is 1.

GCF(33378,33395) = 1

We will now calculate the prime factors of 33378 and 33395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33378 and 33395.

How to find the GCF of 33378 and 33395?

We will first find the prime factorization of 33378 and 33395. After we will calculate the factors of 33378 and 33395 and find the biggest common factor number .

Step-1: Prime Factorization of 33378

Prime factors of 33378 are 2, 3, 5563. Prime factorization of 33378 in exponential form is:

33378 = 2¹ × 3¹ × 5563¹

Step-2: Prime Factorization of 33395

Prime factors of 33395 are 5, 6679. Prime factorization of 33395 in exponential form is:

33395 = 5¹ × 6679¹

Step-3: Factors of 33378

List of positive integer factors of 33378 that divides 33378 without a remainder.

1, 2, 3, 6, 5563, 11126, 16689

Step-4: Factors of 33395

List of positive integer factors of 33395 that divides 33378 without a remainder.

1, 5, 6679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33378 and 33395. The biggest common factor number is the GCF number.
So the greatest common factor 33378 and 33395 is 1.

Also check out the Least Common Multiple of 33378 and 33395