What is the Greatest Common Factor of 24264 and 24269?

Greatest common factor (GCF) of 24264 and 24269 is 1.

GCF(24264,24269) = 1

We will now calculate the prime factors of 24264 and 24269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24264 and 24269.

How to find the GCF of 24264 and 24269?

We will first find the prime factorization of 24264 and 24269. After we will calculate the factors of 24264 and 24269 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24269

Prime factors of 24269 are 7, 3467. Prime factorization of 24269 in exponential form is:

24269 = 7¹ × 3467¹

Step-3: Factors of 24264

List of positive integer factors of 24264 that divides 24264 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

Step-4: Factors of 24269

List of positive integer factors of 24269 that divides 24264 without a remainder.

1, 7, 3467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24264 and 24269. The biggest common factor number is the GCF number.
So the greatest common factor 24264 and 24269 is 1.

Also check out the Least Common Multiple of 24264 and 24269