What is the Greatest Common Factor of 24249 and 24264?

Greatest common factor (GCF) of 24249 and 24264 is 3.

GCF(24249,24264) = 3

We will now calculate the prime factors of 24249 and 24264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24249 and 24264.

How to find the GCF of 24249 and 24264?

We will first find the prime factorization of 24249 and 24264. After we will calculate the factors of 24249 and 24264 and find the biggest common factor number .

Step-1: Prime Factorization of 24249

Prime factors of 24249 are 3, 59, 137. Prime factorization of 24249 in exponential form is:

24249 = 3¹ × 59¹ × 137¹

Step-2: Prime Factorization of 24264

Prime factors of 24264 are 2, 3, 337. Prime factorization of 24264 in exponential form is:

24264 = 2³ × 3² × 337¹

Step-3: Factors of 24249

List of positive integer factors of 24249 that divides 24249 without a remainder.

1, 3, 59, 137, 177, 411, 8083

Step-4: Factors of 24264

List of positive integer factors of 24264 that divides 24249 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 337, 674, 1011, 1348, 2022, 2696, 3033, 4044, 6066, 8088, 12132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24249 and 24264. The biggest common factor number is the GCF number.
So the greatest common factor 24249 and 24264 is 3.

Also check out the Least Common Multiple of 24249 and 24264