What is the Greatest Common Factor of 24505 and 24510?

Greatest common factor (GCF) of 24505 and 24510 is 5.

GCF(24505,24510) = 5

We will now calculate the prime factors of 24505 and 24510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24505 and 24510.

How to find the GCF of 24505 and 24510?

We will first find the prime factorization of 24505 and 24510. After we will calculate the factors of 24505 and 24510 and find the biggest common factor number .

Step-1: Prime Factorization of 24505

Prime factors of 24505 are 5, 13, 29. Prime factorization of 24505 in exponential form is:

24505 = 5¹ × 13² × 29¹

Step-2: Prime Factorization of 24510

Prime factors of 24510 are 2, 3, 5, 19, 43. Prime factorization of 24510 in exponential form is:

24510 = 2¹ × 3¹ × 5¹ × 19¹ × 43¹

Step-3: Factors of 24505

List of positive integer factors of 24505 that divides 24505 without a remainder.

1, 5, 13, 29, 65, 145, 169, 377, 845, 1885, 4901

Step-4: Factors of 24510

List of positive integer factors of 24510 that divides 24505 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 43, 57, 86, 95, 114, 129, 190, 215, 258, 285, 430, 570, 645, 817, 1290, 1634, 2451, 4085, 4902, 8170, 12255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24505 and 24510. The biggest common factor number is the GCF number.
So the greatest common factor 24505 and 24510 is 5.

Also check out the Least Common Multiple of 24505 and 24510