What is the Greatest Common Factor of 24255 and 24266?

Greatest common factor (GCF) of 24255 and 24266 is 11.

GCF(24255,24266) = 11

We will now calculate the prime factors of 24255 and 24266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24255 and 24266.

How to find the GCF of 24255 and 24266?

We will first find the prime factorization of 24255 and 24266. After we will calculate the factors of 24255 and 24266 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24266

Prime factors of 24266 are 2, 11, 1103. Prime factorization of 24266 in exponential form is:

24266 = 2¹ × 11¹ × 1103¹

Step-3: Factors of 24255

List of positive integer factors of 24255 that divides 24255 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

Step-4: Factors of 24266

List of positive integer factors of 24266 that divides 24255 without a remainder.

1, 2, 11, 22, 1103, 2206, 12133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24255 and 24266. The biggest common factor number is the GCF number.
So the greatest common factor 24255 and 24266 is 11.

Also check out the Least Common Multiple of 24255 and 24266