What is the Greatest Common Factor of 82411 and 82418?

Greatest common factor (GCF) of 82411 and 82418 is 7.

GCF(82411,82418) = 7

We will now calculate the prime factors of 82411 and 82418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82411 and 82418.

How to find the GCF of 82411 and 82418?

We will first find the prime factorization of 82411 and 82418. After we will calculate the factors of 82411 and 82418 and find the biggest common factor number .

Step-1: Prime Factorization of 82411

Prime factors of 82411 are 7, 61, 193. Prime factorization of 82411 in exponential form is:

82411 = 7¹ × 61¹ × 193¹

Step-2: Prime Factorization of 82418

Prime factors of 82418 are 2, 7, 29. Prime factorization of 82418 in exponential form is:

82418 = 2¹ × 7² × 29²

Step-3: Factors of 82411

List of positive integer factors of 82411 that divides 82411 without a remainder.

1, 7, 61, 193, 427, 1351, 11773

Step-4: Factors of 82418

List of positive integer factors of 82418 that divides 82411 without a remainder.

1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 841, 1421, 1682, 2842, 5887, 11774, 41209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82411 and 82418. The biggest common factor number is the GCF number.
So the greatest common factor 82411 and 82418 is 7.

Also check out the Least Common Multiple of 82411 and 82418