What is the Greatest Common Factor of 24389 and 24394?

Greatest common factor (GCF) of 24389 and 24394 is 1.

GCF(24389,24394) = 1

We will now calculate the prime factors of 24389 and 24394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24389 and 24394.

How to find the GCF of 24389 and 24394?

We will first find the prime factorization of 24389 and 24394. After we will calculate the factors of 24389 and 24394 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 24394

Prime factors of 24394 are 2, 12197. Prime factorization of 24394 in exponential form is:

24394 = 2¹ × 12197¹

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 24394

List of positive integer factors of 24394 that divides 24389 without a remainder.

1, 2, 12197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24389 and 24394. The biggest common factor number is the GCF number.
So the greatest common factor 24389 and 24394 is 1.

Also check out the Least Common Multiple of 24389 and 24394