What is the Greatest Common Factor of 82263 and 82280?

Greatest common factor (GCF) of 82263 and 82280 is 17.

GCF(82263,82280) = 17

We will now calculate the prime factors of 82263 and 82280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82263 and 82280.

How to find the GCF of 82263 and 82280?

We will first find the prime factorization of 82263 and 82280. After we will calculate the factors of 82263 and 82280 and find the biggest common factor number .

Step-1: Prime Factorization of 82263

Prime factors of 82263 are 3, 17, 1613. Prime factorization of 82263 in exponential form is:

82263 = 3¹ × 17¹ × 1613¹

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 82263

List of positive integer factors of 82263 that divides 82263 without a remainder.

1, 3, 17, 51, 1613, 4839, 27421

Step-4: Factors of 82280

List of positive integer factors of 82280 that divides 82263 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 82263 and 82280. The biggest common factor number is the GCF number.
So the greatest common factor 82263 and 82280 is 17.

Also check out the Least Common Multiple of 82263 and 82280