What is the Greatest Common Factor of 33194 and 33204?

Greatest common factor (GCF) of 33194 and 33204 is 2.

GCF(33194,33204) = 2

We will now calculate the prime factors of 33194 and 33204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33194 and 33204.

How to find the GCF of 33194 and 33204?

We will first find the prime factorization of 33194 and 33204. After we will calculate the factors of 33194 and 33204 and find the biggest common factor number .

Step-1: Prime Factorization of 33194

Prime factors of 33194 are 2, 7, 2371. Prime factorization of 33194 in exponential form is:

33194 = 2¹ × 7¹ × 2371¹

Step-2: Prime Factorization of 33204

Prime factors of 33204 are 2, 3, 2767. Prime factorization of 33204 in exponential form is:

33204 = 2² × 3¹ × 2767¹

Step-3: Factors of 33194

List of positive integer factors of 33194 that divides 33194 without a remainder.

1, 2, 7, 14, 2371, 4742, 16597

Step-4: Factors of 33204

List of positive integer factors of 33204 that divides 33194 without a remainder.

1, 2, 3, 4, 6, 12, 2767, 5534, 8301, 11068, 16602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33194 and 33204. The biggest common factor number is the GCF number.
So the greatest common factor 33194 and 33204 is 2.

Also check out the Least Common Multiple of 33194 and 33204