What is the Greatest Common Factor of 33210 and 33225?

Greatest common factor (GCF) of 33210 and 33225 is 15.

GCF(33210,33225) = 15

We will now calculate the prime factors of 33210 and 33225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33210 and 33225.

How to find the GCF of 33210 and 33225?

We will first find the prime factorization of 33210 and 33225. After we will calculate the factors of 33210 and 33225 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33225

Prime factors of 33225 are 3, 5, 443. Prime factorization of 33225 in exponential form is:

33225 = 3¹ × 5² × 443¹

Step-3: Factors of 33210

List of positive integer factors of 33210 that divides 33210 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

Step-4: Factors of 33225

List of positive integer factors of 33225 that divides 33210 without a remainder.

1, 3, 5, 15, 25, 75, 443, 1329, 2215, 6645, 11075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33210 and 33225. The biggest common factor number is the GCF number.
So the greatest common factor 33210 and 33225 is 15.

Also check out the Least Common Multiple of 33210 and 33225