What is the Greatest Common Factor of 82405 and 82415?

Greatest common factor (GCF) of 82405 and 82415 is 5.

GCF(82405,82415) = 5

We will now calculate the prime factors of 82405 and 82415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82405 and 82415.

How to find the GCF of 82405 and 82415?

We will first find the prime factorization of 82405 and 82415. After we will calculate the factors of 82405 and 82415 and find the biggest common factor number .

Step-1: Prime Factorization of 82405

Prime factors of 82405 are 5, 16481. Prime factorization of 82405 in exponential form is:

82405 = 5¹ × 16481¹

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 82405

List of positive integer factors of 82405 that divides 82405 without a remainder.

1, 5, 16481

Step-4: Factors of 82415

List of positive integer factors of 82415 that divides 82405 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82405 and 82415. The biggest common factor number is the GCF number.
So the greatest common factor 82405 and 82415 is 5.

Also check out the Least Common Multiple of 82405 and 82415