What is the Greatest Common Factor of 33894 and 33911?

Greatest common factor (GCF) of 33894 and 33911 is 1.

GCF(33894,33911) = 1

We will now calculate the prime factors of 33894 and 33911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33894 and 33911.

How to find the GCF of 33894 and 33911?

We will first find the prime factorization of 33894 and 33911. After we will calculate the factors of 33894 and 33911 and find the biggest common factor number .

Step-1: Prime Factorization of 33894

Prime factors of 33894 are 2, 3, 7, 269. Prime factorization of 33894 in exponential form is:

33894 = 2¹ × 3² × 7¹ × 269¹

Step-2: Prime Factorization of 33911

Prime factors of 33911 are 33911. Prime factorization of 33911 in exponential form is:

33911 = 33911¹

Step-3: Factors of 33894

List of positive integer factors of 33894 that divides 33894 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 269, 538, 807, 1614, 1883, 2421, 3766, 4842, 5649, 11298, 16947

Step-4: Factors of 33911

List of positive integer factors of 33911 that divides 33894 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33894 and 33911. The biggest common factor number is the GCF number.
So the greatest common factor 33894 and 33911 is 1.

Also check out the Least Common Multiple of 33894 and 33911