What is the Greatest Common Factor of 12275 and 12288?

Greatest common factor (GCF) of 12275 and 12288 is 1.

GCF(12275,12288) = 1

We will now calculate the prime factors of 12275 and 12288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12275 and 12288.

How to find the GCF of 12275 and 12288?

We will first find the prime factorization of 12275 and 12288. After we will calculate the factors of 12275 and 12288 and find the biggest common factor number .

Step-1: Prime Factorization of 12275

Prime factors of 12275 are 5, 491. Prime factorization of 12275 in exponential form is:

12275 = 5² × 491¹

Step-2: Prime Factorization of 12288

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

12288 = 2¹² × 3¹

Step-3: Factors of 12275

List of positive integer factors of 12275 that divides 12275 without a remainder.

1, 5, 25, 491, 2455

Step-4: Factors of 12288

List of positive integer factors of 12288 that divides 12275 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12275 and 12288. The biggest common factor number is the GCF number.
So the greatest common factor 12275 and 12288 is 1.

Also check out the Least Common Multiple of 12275 and 12288