What is the Greatest Common Factor of 24345 and 24360?

Greatest common factor (GCF) of 24345 and 24360 is 15.

GCF(24345,24360) = 15

We will now calculate the prime factors of 24345 and 24360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24345 and 24360.

How to find the GCF of 24345 and 24360?

We will first find the prime factorization of 24345 and 24360. After we will calculate the factors of 24345 and 24360 and find the biggest common factor number .

Step-1: Prime Factorization of 24345

Prime factors of 24345 are 3, 5, 541. Prime factorization of 24345 in exponential form is:

24345 = 3² × 5¹ × 541¹

Step-2: 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-3: Factors of 24345

List of positive integer factors of 24345 that divides 24345 without a remainder.

1, 3, 5, 9, 15, 45, 541, 1623, 2705, 4869, 8115

Step-4: Factors of 24360

List of positive integer factors of 24360 that divides 24345 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24345 and 24360. The biggest common factor number is the GCF number.
So the greatest common factor 24345 and 24360 is 15.

Also check out the Least Common Multiple of 24345 and 24360