What is the Greatest Common Factor of 82269 and 82284?

Greatest common factor (GCF) of 82269 and 82284 is 3.

GCF(82269,82284) = 3

We will now calculate the prime factors of 82269 and 82284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82269 and 82284.

How to find the GCF of 82269 and 82284?

We will first find the prime factorization of 82269 and 82284. After we will calculate the factors of 82269 and 82284 and find the biggest common factor number .

Step-1: Prime Factorization of 82269

Prime factors of 82269 are 3, 11, 277. Prime factorization of 82269 in exponential form is:

82269 = 3³ × 11¹ × 277¹

Step-2: Prime Factorization of 82284

Prime factors of 82284 are 2, 3, 6857. Prime factorization of 82284 in exponential form is:

82284 = 2² × 3¹ × 6857¹

Step-3: Factors of 82269

List of positive integer factors of 82269 that divides 82269 without a remainder.

1, 3, 9, 11, 27, 33, 99, 277, 297, 831, 2493, 3047, 7479, 9141, 27423

Step-4: Factors of 82284

List of positive integer factors of 82284 that divides 82269 without a remainder.

1, 2, 3, 4, 6, 12, 6857, 13714, 20571, 27428, 41142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82269 and 82284. The biggest common factor number is the GCF number.
So the greatest common factor 82269 and 82284 is 3.

Also check out the Least Common Multiple of 82269 and 82284