What is the Greatest Common Factor of 82215 and 82230?

Greatest common factor (GCF) of 82215 and 82230 is 15.

GCF(82215,82230) = 15

We will now calculate the prime factors of 82215 and 82230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82215 and 82230.

How to find the GCF of 82215 and 82230?

We will first find the prime factorization of 82215 and 82230. After we will calculate the factors of 82215 and 82230 and find the biggest common factor number .

Step-1: Prime Factorization of 82215

Prime factors of 82215 are 3, 5, 7, 29. Prime factorization of 82215 in exponential form is:

82215 = 3⁴ × 5¹ × 7¹ × 29¹

Step-2: Prime Factorization of 82230

Prime factors of 82230 are 2, 3, 5, 2741. Prime factorization of 82230 in exponential form is:

82230 = 2¹ × 3¹ × 5¹ × 2741¹

Step-3: Factors of 82215

List of positive integer factors of 82215 that divides 82215 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 29, 35, 45, 63, 81, 87, 105, 135, 145, 189, 203, 261, 315, 405, 435, 567, 609, 783, 945, 1015, 1305, 1827, 2349, 2835, 3045, 3915, 5481, 9135, 11745, 16443, 27405

Step-4: Factors of 82230

List of positive integer factors of 82230 that divides 82215 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2741, 5482, 8223, 13705, 16446, 27410, 41115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82215 and 82230. The biggest common factor number is the GCF number.
So the greatest common factor 82215 and 82230 is 15.

Also check out the Least Common Multiple of 82215 and 82230