What is the Greatest Common Factor of 33285 and 33297?

Greatest common factor (GCF) of 33285 and 33297 is 3.

GCF(33285,33297) = 3

We will now calculate the prime factors of 33285 and 33297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33285 and 33297.

How to find the GCF of 33285 and 33297?

We will first find the prime factorization of 33285 and 33297. After we will calculate the factors of 33285 and 33297 and find the biggest common factor number .

Step-1: Prime Factorization of 33285

Prime factors of 33285 are 3, 5, 7, 317. Prime factorization of 33285 in exponential form is:

33285 = 3¹ × 5¹ × 7¹ × 317¹

Step-2: Prime Factorization of 33297

Prime factors of 33297 are 3, 11, 1009. Prime factorization of 33297 in exponential form is:

33297 = 3¹ × 11¹ × 1009¹

Step-3: Factors of 33285

List of positive integer factors of 33285 that divides 33285 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 317, 951, 1585, 2219, 4755, 6657, 11095

Step-4: Factors of 33297

List of positive integer factors of 33297 that divides 33285 without a remainder.

1, 3, 11, 33, 1009, 3027, 11099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33285 and 33297. The biggest common factor number is the GCF number.
So the greatest common factor 33285 and 33297 is 3.

Also check out the Least Common Multiple of 33285 and 33297