What is the Greatest Common Factor of 33381 and 33399?

Greatest common factor (GCF) of 33381 and 33399 is 9.

GCF(33381,33399) = 9

We will now calculate the prime factors of 33381 and 33399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33381 and 33399.

How to find the GCF of 33381 and 33399?

We will first find the prime factorization of 33381 and 33399. After we will calculate the factors of 33381 and 33399 and find the biggest common factor number .

Step-1: Prime Factorization of 33381

Prime factors of 33381 are 3, 3709. Prime factorization of 33381 in exponential form is:

33381 = 3² × 3709¹

Step-2: Prime Factorization of 33399

Prime factors of 33399 are 3, 1237. Prime factorization of 33399 in exponential form is:

33399 = 3³ × 1237¹

Step-3: Factors of 33381

List of positive integer factors of 33381 that divides 33381 without a remainder.

1, 3, 9, 3709, 11127

Step-4: Factors of 33399

List of positive integer factors of 33399 that divides 33381 without a remainder.

1, 3, 9, 27, 1237, 3711, 11133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33381 and 33399. The biggest common factor number is the GCF number.
So the greatest common factor 33381 and 33399 is 9.

Also check out the Least Common Multiple of 33381 and 33399