What is the Greatest Common Factor of 24381 and 24397?

Greatest common factor (GCF) of 24381 and 24397 is 1.

GCF(24381,24397) = 1

We will now calculate the prime factors of 24381 and 24397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24381 and 24397.

How to find the GCF of 24381 and 24397?

We will first find the prime factorization of 24381 and 24397. After we will calculate the factors of 24381 and 24397 and find the biggest common factor number .

Step-1: Prime Factorization of 24381

Prime factors of 24381 are 3, 7, 43. Prime factorization of 24381 in exponential form is:

24381 = 3⁴ × 7¹ × 43¹

Step-2: Prime Factorization of 24397

Prime factors of 24397 are 31, 787. Prime factorization of 24397 in exponential form is:

24397 = 31¹ × 787¹

Step-3: Factors of 24381

List of positive integer factors of 24381 that divides 24381 without a remainder.

1, 3, 7, 9, 21, 27, 43, 63, 81, 129, 189, 301, 387, 567, 903, 1161, 2709, 3483, 8127

Step-4: Factors of 24397

List of positive integer factors of 24397 that divides 24381 without a remainder.

1, 31, 787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24381 and 24397. The biggest common factor number is the GCF number.
So the greatest common factor 24381 and 24397 is 1.

Also check out the Least Common Multiple of 24381 and 24397