What is the Greatest Common Factor of 33210 and 33220?

Greatest common factor (GCF) of 33210 and 33220 is 10.

GCF(33210,33220) = 10

We will now calculate the prime factors of 33210 and 33220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33210 and 33220.

How to find the GCF of 33210 and 33220?

We will first find the prime factorization of 33210 and 33220. After we will calculate the factors of 33210 and 33220 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 33220

Prime factors of 33220 are 2, 5, 11, 151. Prime factorization of 33220 in exponential form is:

33220 = 2² × 5¹ × 11¹ × 151¹

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 33220

List of positive integer factors of 33220 that divides 33210 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 151, 220, 302, 604, 755, 1510, 1661, 3020, 3322, 6644, 8305, 16610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33210 and 33220. The biggest common factor number is the GCF number.
So the greatest common factor 33210 and 33220 is 10.

Also check out the Least Common Multiple of 33210 and 33220