What is the Greatest Common Factor of 33198 and 33205?

Greatest common factor (GCF) of 33198 and 33205 is 1.

GCF(33198,33205) = 1

We will now calculate the prime factors of 33198 and 33205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33198 and 33205.

How to find the GCF of 33198 and 33205?

We will first find the prime factorization of 33198 and 33205. After we will calculate the factors of 33198 and 33205 and find the biggest common factor number .

Step-1: Prime Factorization of 33198

Prime factors of 33198 are 2, 3, 11, 503. Prime factorization of 33198 in exponential form is:

33198 = 2¹ × 3¹ × 11¹ × 503¹

Step-2: Prime Factorization of 33205

Prime factors of 33205 are 5, 29, 229. Prime factorization of 33205 in exponential form is:

33205 = 5¹ × 29¹ × 229¹

Step-3: Factors of 33198

List of positive integer factors of 33198 that divides 33198 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 503, 1006, 1509, 3018, 5533, 11066, 16599

Step-4: Factors of 33205

List of positive integer factors of 33205 that divides 33198 without a remainder.

1, 5, 29, 145, 229, 1145, 6641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33198 and 33205. The biggest common factor number is the GCF number.
So the greatest common factor 33198 and 33205 is 1.

Also check out the Least Common Multiple of 33198 and 33205