What is the Greatest Common Factor of 82209 and 82228?

Greatest common factor (GCF) of 82209 and 82228 is 1.

GCF(82209,82228) = 1

We will now calculate the prime factors of 82209 and 82228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82209 and 82228.

How to find the GCF of 82209 and 82228?

We will first find the prime factorization of 82209 and 82228. After we will calculate the factors of 82209 and 82228 and find the biggest common factor number .

Step-1: Prime Factorization of 82209

Prime factors of 82209 are 3, 67, 409. Prime factorization of 82209 in exponential form is:

82209 = 3¹ × 67¹ × 409¹

Step-2: Prime Factorization of 82228

Prime factors of 82228 are 2, 61, 337. Prime factorization of 82228 in exponential form is:

82228 = 2² × 61¹ × 337¹

Step-3: Factors of 82209

List of positive integer factors of 82209 that divides 82209 without a remainder.

1, 3, 67, 201, 409, 1227, 27403

Step-4: Factors of 82228

List of positive integer factors of 82228 that divides 82209 without a remainder.

1, 2, 4, 61, 122, 244, 337, 674, 1348, 20557, 41114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82209 and 82228. The biggest common factor number is the GCF number.
So the greatest common factor 82209 and 82228 is 1.

Also check out the Least Common Multiple of 82209 and 82228