What is the Greatest Common Factor of 82389 and 82401?

Greatest common factor (GCF) of 82389 and 82401 is 3.

GCF(82389,82401) = 3

We will now calculate the prime factors of 82389 and 82401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82389 and 82401.

How to find the GCF of 82389 and 82401?

We will first find the prime factorization of 82389 and 82401. After we will calculate the factors of 82389 and 82401 and find the biggest common factor number .

Step-1: Prime Factorization of 82389

Prime factors of 82389 are 3, 29, 947. Prime factorization of 82389 in exponential form is:

82389 = 3¹ × 29¹ × 947¹

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 82389

List of positive integer factors of 82389 that divides 82389 without a remainder.

1, 3, 29, 87, 947, 2841, 27463

Step-4: Factors of 82401

List of positive integer factors of 82401 that divides 82389 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 82389 and 82401. The biggest common factor number is the GCF number.
So the greatest common factor 82389 and 82401 is 3.

Also check out the Least Common Multiple of 82389 and 82401