What is the Greatest Common Factor of 24180 and 24190?

Greatest common factor (GCF) of 24180 and 24190 is 10.

GCF(24180,24190) = 10

We will now calculate the prime factors of 24180 and 24190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24180 and 24190.

How to find the GCF of 24180 and 24190?

We will first find the prime factorization of 24180 and 24190. After we will calculate the factors of 24180 and 24190 and find the biggest common factor number .

Step-1: Prime Factorization of 24180

Prime factors of 24180 are 2, 3, 5, 13, 31. Prime factorization of 24180 in exponential form is:

24180 = 2² × 3¹ × 5¹ × 13¹ × 31¹

Step-2: Prime Factorization of 24190

Prime factors of 24190 are 2, 5, 41, 59. Prime factorization of 24190 in exponential form is:

24190 = 2¹ × 5¹ × 41¹ × 59¹

Step-3: Factors of 24180

List of positive integer factors of 24180 that divides 24180 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 31, 39, 52, 60, 62, 65, 78, 93, 124, 130, 155, 156, 186, 195, 260, 310, 372, 390, 403, 465, 620, 780, 806, 930, 1209, 1612, 1860, 2015, 2418, 4030, 4836, 6045, 8060, 12090

Step-4: Factors of 24190

List of positive integer factors of 24190 that divides 24180 without a remainder.

1, 2, 5, 10, 41, 59, 82, 118, 205, 295, 410, 590, 2419, 4838, 12095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24180 and 24190. The biggest common factor number is the GCF number.
So the greatest common factor 24180 and 24190 is 10.

Also check out the Least Common Multiple of 24180 and 24190