What is the Greatest Common Factor of 82269 and 82280?

Greatest common factor (GCF) of 82269 and 82280 is 11.

GCF(82269,82280) = 11

We will now calculate the prime factors of 82269 and 82280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82269 and 82280.

How to find the GCF of 82269 and 82280?

We will first find the prime factorization of 82269 and 82280. After we will calculate the factors of 82269 and 82280 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 82280

Prime factors of 82280 are 2, 5, 11, 17. Prime factorization of 82280 in exponential form is:

82280 = 2³ × 5¹ × 11² × 17¹

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 82280

List of positive integer factors of 82280 that divides 82269 without a remainder.

1, 2, 4, 5, 8, 10, 11, 17, 20, 22, 34, 40, 44, 55, 68, 85, 88, 110, 121, 136, 170, 187, 220, 242, 340, 374, 440, 484, 605, 680, 748, 935, 968, 1210, 1496, 1870, 2057, 2420, 3740, 4114, 4840, 7480, 8228, 10285, 16456, 20570, 41140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82269 and 82280. The biggest common factor number is the GCF number.
So the greatest common factor 82269 and 82280 is 11.

Also check out the Least Common Multiple of 82269 and 82280