What is the Greatest Common Factor of 24360 and 24371?

Greatest common factor (GCF) of 24360 and 24371 is 1.

GCF(24360,24371) = 1

We will now calculate the prime factors of 24360 and 24371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24360 and 24371.

How to find the GCF of 24360 and 24371?

We will first find the prime factorization of 24360 and 24371. After we will calculate the factors of 24360 and 24371 and find the biggest common factor number .

Step-1: Prime Factorization of 24360

Prime factors of 24360 are 2, 3, 5, 7, 29. Prime factorization of 24360 in exponential form is:

24360 = 2³ × 3¹ × 5¹ × 7¹ × 29¹

Step-2: Prime Factorization of 24371

Prime factors of 24371 are 24371. Prime factorization of 24371 in exponential form is:

24371 = 24371¹

Step-3: Factors of 24360

List of positive integer factors of 24360 that divides 24360 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 29, 30, 35, 40, 42, 56, 58, 60, 70, 84, 87, 105, 116, 120, 140, 145, 168, 174, 203, 210, 232, 280, 290, 348, 406, 420, 435, 580, 609, 696, 812, 840, 870, 1015, 1160, 1218, 1624, 1740, 2030, 2436, 3045, 3480, 4060, 4872, 6090, 8120, 12180

Step-4: Factors of 24371

List of positive integer factors of 24371 that divides 24360 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24360 and 24371. The biggest common factor number is the GCF number.
So the greatest common factor 24360 and 24371 is 1.

Also check out the Least Common Multiple of 24360 and 24371