What is the Greatest Common Factor of 36844 and 36864?

Greatest common factor (GCF) of 36844 and 36864 is 4.

GCF(36844,36864) = 4

We will now calculate the prime factors of 36844 and 36864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36844 and 36864.

How to find the GCF of 36844 and 36864?

We will first find the prime factorization of 36844 and 36864. After we will calculate the factors of 36844 and 36864 and find the biggest common factor number .

Step-1: Prime Factorization of 36844

Prime factors of 36844 are 2, 61, 151. Prime factorization of 36844 in exponential form is:

36844 = 2² × 61¹ × 151¹

Step-2: Prime Factorization of 36864

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

36864 = 2¹² × 3²

Step-3: Factors of 36844

List of positive integer factors of 36844 that divides 36844 without a remainder.

1, 2, 4, 61, 122, 151, 244, 302, 604, 9211, 18422

Step-4: Factors of 36864

List of positive integer factors of 36864 that divides 36844 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36844 and 36864. The biggest common factor number is the GCF number.
So the greatest common factor 36844 and 36864 is 4.

Also check out the Least Common Multiple of 36844 and 36864