What is the Greatest Common Factor of 82384 and 82401?

Greatest common factor (GCF) of 82384 and 82401 is 1.

GCF(82384,82401) = 1

We will now calculate the prime factors of 82384 and 82401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82384 and 82401.

How to find the GCF of 82384 and 82401?

We will first find the prime factorization of 82384 and 82401. After we will calculate the factors of 82384 and 82401 and find the biggest common factor number .

Step-1: Prime Factorization of 82384

Prime factors of 82384 are 2, 19, 271. Prime factorization of 82384 in exponential form is:

82384 = 2⁴ × 19¹ × 271¹

Step-2: 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-3: Factors of 82384

List of positive integer factors of 82384 that divides 82384 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 271, 304, 542, 1084, 2168, 4336, 5149, 10298, 20596, 41192

Step-4: Factors of 82401

List of positive integer factors of 82401 that divides 82384 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82384 and 82401. The biggest common factor number is the GCF number.
So the greatest common factor 82384 and 82401 is 1.

Also check out the Least Common Multiple of 82384 and 82401