What is the Greatest Common Factor of 82302 and 82309?

Greatest common factor (GCF) of 82302 and 82309 is 1.

GCF(82302,82309) = 1

We will now calculate the prime factors of 82302 and 82309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82302 and 82309.

How to find the GCF of 82302 and 82309?

We will first find the prime factorization of 82302 and 82309. After we will calculate the factors of 82302 and 82309 and find the biggest common factor number .

Step-1: Prime Factorization of 82302

Prime factors of 82302 are 2, 3, 11, 29, 43. Prime factorization of 82302 in exponential form is:

82302 = 2¹ × 3¹ × 11¹ × 29¹ × 43¹

Step-2: Prime Factorization of 82309

Prime factors of 82309 are 53, 1553. Prime factorization of 82309 in exponential form is:

82309 = 53¹ × 1553¹

Step-3: Factors of 82302

List of positive integer factors of 82302 that divides 82302 without a remainder.

1, 2, 3, 6, 11, 22, 29, 33, 43, 58, 66, 86, 87, 129, 174, 258, 319, 473, 638, 946, 957, 1247, 1419, 1914, 2494, 2838, 3741, 7482, 13717, 27434, 41151

Step-4: Factors of 82309

List of positive integer factors of 82309 that divides 82302 without a remainder.

1, 53, 1553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82302 and 82309. The biggest common factor number is the GCF number.
So the greatest common factor 82302 and 82309 is 1.

Also check out the Least Common Multiple of 82302 and 82309