What is the Greatest Common Factor of 12288 and 12299?

Greatest common factor (GCF) of 12288 and 12299 is 1.

GCF(12288,12299) = 1

We will now calculate the prime factors of 12288 and 12299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12288 and 12299.

How to find the GCF of 12288 and 12299?

We will first find the prime factorization of 12288 and 12299. After we will calculate the factors of 12288 and 12299 and find the biggest common factor number .

Step-1: Prime Factorization of 12288

Prime factors of 12288 are 2, 3. Prime factorization of 12288 in exponential form is:

12288 = 2¹² × 3¹

Step-2: Prime Factorization of 12299

Prime factors of 12299 are 7, 251. Prime factorization of 12299 in exponential form is:

12299 = 7² × 251¹

Step-3: Factors of 12288

List of positive integer factors of 12288 that divides 12288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 2048, 3072, 4096, 6144

Step-4: Factors of 12299

List of positive integer factors of 12299 that divides 12288 without a remainder.

1, 7, 49, 251, 1757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12288 and 12299. The biggest common factor number is the GCF number.
So the greatest common factor 12288 and 12299 is 1.

Also check out the Least Common Multiple of 12288 and 12299