What is the Greatest Common Factor of 33189 and 33201?

Greatest common factor (GCF) of 33189 and 33201 is 3.

GCF(33189,33201) = 3

We will now calculate the prime factors of 33189 and 33201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33189 and 33201.

How to find the GCF of 33189 and 33201?

We will first find the prime factorization of 33189 and 33201. After we will calculate the factors of 33189 and 33201 and find the biggest common factor number .

Step-1: Prime Factorization of 33189

Prime factors of 33189 are 3, 13, 23, 37. Prime factorization of 33189 in exponential form is:

33189 = 3¹ × 13¹ × 23¹ × 37¹

Step-2: 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-3: Factors of 33189

List of positive integer factors of 33189 that divides 33189 without a remainder.

1, 3, 13, 23, 37, 39, 69, 111, 299, 481, 851, 897, 1443, 2553, 11063

Step-4: Factors of 33201

List of positive integer factors of 33201 that divides 33189 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33189 and 33201. The biggest common factor number is the GCF number.
So the greatest common factor 33189 and 33201 is 3.

Also check out the Least Common Multiple of 33189 and 33201