What is the Greatest Common Factor of 24360 and 24370?

Greatest common factor (GCF) of 24360 and 24370 is 10.

GCF(24360,24370) = 10

We will now calculate the prime factors of 24360 and 24370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24360 and 24370.

How to find the GCF of 24360 and 24370?

We will first find the prime factorization of 24360 and 24370. After we will calculate the factors of 24360 and 24370 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 24370

Prime factors of 24370 are 2, 5, 2437. Prime factorization of 24370 in exponential form is:

24370 = 2¹ × 5¹ × 2437¹

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 24370

List of positive integer factors of 24370 that divides 24360 without a remainder.

1, 2, 5, 10, 2437, 4874, 12185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24360 and 24370. The biggest common factor number is the GCF number.
So the greatest common factor 24360 and 24370 is 10.

Also check out the Least Common Multiple of 24360 and 24370