What is the Greatest Common Factor of 82218 and 82227?

Greatest common factor (GCF) of 82218 and 82227 is 3.

GCF(82218,82227) = 3

We will now calculate the prime factors of 82218 and 82227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82218 and 82227.

How to find the GCF of 82218 and 82227?

We will first find the prime factorization of 82218 and 82227. After we will calculate the factors of 82218 and 82227 and find the biggest common factor number .

Step-1: Prime Factorization of 82218

Prime factors of 82218 are 2, 3, 71, 193. Prime factorization of 82218 in exponential form is:

82218 = 2¹ × 3¹ × 71¹ × 193¹

Step-2: Prime Factorization of 82227

Prime factors of 82227 are 3, 27409. Prime factorization of 82227 in exponential form is:

82227 = 3¹ × 27409¹

Step-3: Factors of 82218

List of positive integer factors of 82218 that divides 82218 without a remainder.

1, 2, 3, 6, 71, 142, 193, 213, 386, 426, 579, 1158, 13703, 27406, 41109

Step-4: Factors of 82227

List of positive integer factors of 82227 that divides 82218 without a remainder.

1, 3, 27409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82218 and 82227. The biggest common factor number is the GCF number.
So the greatest common factor 82218 and 82227 is 3.

Also check out the Least Common Multiple of 82218 and 82227