What is the Greatest Common Factor of 33201 and 33209?

Greatest common factor (GCF) of 33201 and 33209 is 1.

GCF(33201,33209) = 1

We will now calculate the prime factors of 33201 and 33209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33201 and 33209.

How to find the GCF of 33201 and 33209?

We will first find the prime factorization of 33201 and 33209. After we will calculate the factors of 33201 and 33209 and find the biggest common factor number .

Step-1: Prime Factorization of 33201

Prime factors of 33201 are 3, 7, 17, 31. Prime factorization of 33201 in exponential form is:

33201 = 3² × 7¹ × 17¹ × 31¹

Step-2: Prime Factorization of 33209

Prime factors of 33209 are 11, 3019. Prime factorization of 33209 in exponential form is:

33209 = 11¹ × 3019¹

Step-3: Factors of 33201

List of positive integer factors of 33201 that divides 33201 without a remainder.

1, 3, 7, 9, 17, 21, 31, 51, 63, 93, 119, 153, 217, 279, 357, 527, 651, 1071, 1581, 1953, 3689, 4743, 11067

Step-4: Factors of 33209

List of positive integer factors of 33209 that divides 33201 without a remainder.

1, 11, 3019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33201 and 33209. The biggest common factor number is the GCF number.
So the greatest common factor 33201 and 33209 is 1.

Also check out the Least Common Multiple of 33201 and 33209