What is the Greatest Common Factor of 24240 and 24255?

Greatest common factor (GCF) of 24240 and 24255 is 15.

GCF(24240,24255) = 15

We will now calculate the prime factors of 24240 and 24255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24240 and 24255.

How to find the GCF of 24240 and 24255?

We will first find the prime factorization of 24240 and 24255. After we will calculate the factors of 24240 and 24255 and find the biggest common factor number .

Step-1: Prime Factorization of 24240

Prime factors of 24240 are 2, 3, 5, 101. Prime factorization of 24240 in exponential form is:

24240 = 2⁴ × 3¹ × 5¹ × 101¹

Step-2: Prime Factorization of 24255

Prime factors of 24255 are 3, 5, 7, 11. Prime factorization of 24255 in exponential form is:

24255 = 3² × 5¹ × 7² × 11¹

Step-3: Factors of 24240

List of positive integer factors of 24240 that divides 24240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 101, 120, 202, 240, 303, 404, 505, 606, 808, 1010, 1212, 1515, 1616, 2020, 2424, 3030, 4040, 4848, 6060, 8080, 12120

Step-4: Factors of 24255

List of positive integer factors of 24255 that divides 24240 without a remainder.

1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 49, 55, 63, 77, 99, 105, 147, 165, 231, 245, 315, 385, 441, 495, 539, 693, 735, 1155, 1617, 2205, 2695, 3465, 4851, 8085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24240 and 24255. The biggest common factor number is the GCF number.
So the greatest common factor 24240 and 24255 is 15.

Also check out the Least Common Multiple of 24240 and 24255