What is the Greatest Common Factor of 82410 and 82415?

Greatest common factor (GCF) of 82410 and 82415 is 5.

GCF(82410,82415) = 5

We will now calculate the prime factors of 82410 and 82415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82410 and 82415.

How to find the GCF of 82410 and 82415?

We will first find the prime factorization of 82410 and 82415. After we will calculate the factors of 82410 and 82415 and find the biggest common factor number .

Step-1: Prime Factorization of 82410

Prime factors of 82410 are 2, 3, 5, 41, 67. Prime factorization of 82410 in exponential form is:

82410 = 2¹ × 3¹ × 5¹ × 41¹ × 67¹

Step-2: Prime Factorization of 82415

Prime factors of 82415 are 5, 53, 311. Prime factorization of 82415 in exponential form is:

82415 = 5¹ × 53¹ × 311¹

Step-3: Factors of 82410

List of positive integer factors of 82410 that divides 82410 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 41, 67, 82, 123, 134, 201, 205, 246, 335, 402, 410, 615, 670, 1005, 1230, 2010, 2747, 5494, 8241, 13735, 16482, 27470, 41205

Step-4: Factors of 82415

List of positive integer factors of 82415 that divides 82410 without a remainder.

1, 5, 53, 265, 311, 1555, 16483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82410 and 82415. The biggest common factor number is the GCF number.
So the greatest common factor 82410 and 82415 is 5.

Also check out the Least Common Multiple of 82410 and 82415