What is the Greatest Common Factor of 36864 and 36869?

Greatest common factor (GCF) of 36864 and 36869 is 1.

GCF(36864,36869) = 1

We will now calculate the prime factors of 36864 and 36869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36864 and 36869.

How to find the GCF of 36864 and 36869?

We will first find the prime factorization of 36864 and 36869. After we will calculate the factors of 36864 and 36869 and find the biggest common factor number .

Step-1: Prime Factorization of 36864

Prime factors of 36864 are 2, 3. Prime factorization of 36864 in exponential form is:

36864 = 2¹² × 3²

Step-2: Prime Factorization of 36869

Prime factors of 36869 are 7, 23, 229. Prime factorization of 36869 in exponential form is:

36869 = 7¹ × 23¹ × 229¹

Step-3: Factors of 36864

List of positive integer factors of 36864 that divides 36864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2048, 2304, 3072, 4096, 4608, 6144, 9216, 12288, 18432

Step-4: Factors of 36869

List of positive integer factors of 36869 that divides 36864 without a remainder.

1, 7, 23, 161, 229, 1603, 5267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36864 and 36869. The biggest common factor number is the GCF number.
So the greatest common factor 36864 and 36869 is 1.

Also check out the Least Common Multiple of 36864 and 36869