What is the Greatest Common Factor of 24350 and 24360?

Greatest common factor (GCF) of 24350 and 24360 is 10.

GCF(24350,24360) = 10

We will now calculate the prime factors of 24350 and 24360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24350 and 24360.

How to find the GCF of 24350 and 24360?

We will first find the prime factorization of 24350 and 24360. After we will calculate the factors of 24350 and 24360 and find the biggest common factor number .

Step-1: Prime Factorization of 24350

Prime factors of 24350 are 2, 5, 487. Prime factorization of 24350 in exponential form is:

24350 = 2¹ × 5² × 487¹

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 24350

List of positive integer factors of 24350 that divides 24350 without a remainder.

1, 2, 5, 10, 25, 50, 487, 974, 2435, 4870, 12175

Step-4: Factors of 24360

List of positive integer factors of 24360 that divides 24350 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 24350 and 24360. The biggest common factor number is the GCF number.
So the greatest common factor 24350 and 24360 is 10.

Also check out the Least Common Multiple of 24350 and 24360