What is the Greatest Common Factor of 82401 and 82419?

Greatest common factor (GCF) of 82401 and 82419 is 3.

GCF(82401,82419) = 3

We will now calculate the prime factors of 82401 and 82419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82401 and 82419.

How to find the GCF of 82401 and 82419?

We will first find the prime factorization of 82401 and 82419. After we will calculate the factors of 82401 and 82419 and find the biggest common factor number .

Step-1: Prime Factorization of 82401

Prime factors of 82401 are 3, 11, 227. Prime factorization of 82401 in exponential form is:

82401 = 3¹ × 11² × 227¹

Step-2: Prime Factorization of 82419

Prime factors of 82419 are 3, 83, 331. Prime factorization of 82419 in exponential form is:

82419 = 3¹ × 83¹ × 331¹

Step-3: Factors of 82401

List of positive integer factors of 82401 that divides 82401 without a remainder.

1, 3, 11, 33, 121, 227, 363, 681, 2497, 7491, 27467

Step-4: Factors of 82419

List of positive integer factors of 82419 that divides 82401 without a remainder.

1, 3, 83, 249, 331, 993, 27473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82401 and 82419. The biggest common factor number is the GCF number.
So the greatest common factor 82401 and 82419 is 3.

Also check out the Least Common Multiple of 82401 and 82419