What is the Greatest Common Factor of 33198 and 33210?

Greatest common factor (GCF) of 33198 and 33210 is 6.

GCF(33198,33210) = 6

We will now calculate the prime factors of 33198 and 33210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33198 and 33210.

How to find the GCF of 33198 and 33210?

We will first find the prime factorization of 33198 and 33210. After we will calculate the factors of 33198 and 33210 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 33210

Prime factors of 33210 are 2, 3, 5, 41. Prime factorization of 33210 in exponential form is:

33210 = 2¹ × 3⁴ × 5¹ × 41¹

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 33210

List of positive integer factors of 33210 that divides 33198 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 41, 45, 54, 81, 82, 90, 123, 135, 162, 205, 246, 270, 369, 405, 410, 615, 738, 810, 1107, 1230, 1845, 2214, 3321, 3690, 5535, 6642, 11070, 16605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33198 and 33210. The biggest common factor number is the GCF number.
So the greatest common factor 33198 and 33210 is 6.

Also check out the Least Common Multiple of 33198 and 33210