What is the Greatest Common Factor of 24367 and 24381?

Greatest common factor (GCF) of 24367 and 24381 is 7.

GCF(24367,24381) = 7

We will now calculate the prime factors of 24367 and 24381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24367 and 24381.

How to find the GCF of 24367 and 24381?

We will first find the prime factorization of 24367 and 24381. After we will calculate the factors of 24367 and 24381 and find the biggest common factor number .

Step-1: Prime Factorization of 24367

Prime factors of 24367 are 7, 59. Prime factorization of 24367 in exponential form is:

24367 = 7¹ × 59²

Step-2: 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-3: Factors of 24367

List of positive integer factors of 24367 that divides 24367 without a remainder.

1, 7, 59, 413, 3481

Step-4: Factors of 24381

List of positive integer factors of 24381 that divides 24367 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24367 and 24381. The biggest common factor number is the GCF number.
So the greatest common factor 24367 and 24381 is 7.

Also check out the Least Common Multiple of 24367 and 24381