What is the Greatest Common Factor of 18389 and 18401?

Greatest common factor (GCF) of 18389 and 18401 is 1.

GCF(18389,18401) = 1

We will now calculate the prime factors of 18389 and 18401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18389 and 18401.

How to find the GCF of 18389 and 18401?

We will first find the prime factorization of 18389 and 18401. After we will calculate the factors of 18389 and 18401 and find the biggest common factor number .

Step-1: Prime Factorization of 18389

Prime factors of 18389 are 7, 37, 71. Prime factorization of 18389 in exponential form is:

18389 = 7¹ × 37¹ × 71¹

Step-2: Prime Factorization of 18401

Prime factors of 18401 are 18401. Prime factorization of 18401 in exponential form is:

18401 = 18401¹

Step-3: Factors of 18389

List of positive integer factors of 18389 that divides 18389 without a remainder.

1, 7, 37, 71, 259, 497, 2627

Step-4: Factors of 18401

List of positive integer factors of 18401 that divides 18389 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18389 and 18401. The biggest common factor number is the GCF number.
So the greatest common factor 18389 and 18401 is 1.

Also check out the Least Common Multiple of 18389 and 18401