What is the Greatest Common Factor of 33210 and 33229?

Greatest common factor (GCF) of 33210 and 33229 is 1.

GCF(33210,33229) = 1

We will now calculate the prime factors of 33210 and 33229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33210 and 33229.

How to find the GCF of 33210 and 33229?

We will first find the prime factorization of 33210 and 33229. After we will calculate the factors of 33210 and 33229 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 33229

Prime factors of 33229 are 7, 47, 101. Prime factorization of 33229 in exponential form is:

33229 = 7¹ × 47¹ × 101¹

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 33229

List of positive integer factors of 33229 that divides 33210 without a remainder.

1, 7, 47, 101, 329, 707, 4747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33210 and 33229. The biggest common factor number is the GCF number.
So the greatest common factor 33210 and 33229 is 1.

Also check out the Least Common Multiple of 33210 and 33229