What is the Greatest Common Factor of 24389 and 24401?

Greatest common factor (GCF) of 24389 and 24401 is 1.

GCF(24389,24401) = 1

We will now calculate the prime factors of 24389 and 24401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24389 and 24401.

How to find the GCF of 24389 and 24401?

We will first find the prime factorization of 24389 and 24401. After we will calculate the factors of 24389 and 24401 and find the biggest common factor number .

Step-1: Prime Factorization of 24389

Prime factors of 24389 are 29. Prime factorization of 24389 in exponential form is:

24389 = 29³

Step-2: Prime Factorization of 24401

Prime factors of 24401 are 13, 1877. Prime factorization of 24401 in exponential form is:

24401 = 13¹ × 1877¹

Step-3: Factors of 24389

List of positive integer factors of 24389 that divides 24389 without a remainder.

1, 29, 841

Step-4: Factors of 24401

List of positive integer factors of 24401 that divides 24389 without a remainder.

1, 13, 1877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24389 and 24401. The biggest common factor number is the GCF number.
So the greatest common factor 24389 and 24401 is 1.

Also check out the Least Common Multiple of 24389 and 24401