What is the Greatest Common Factor of 36846 and 36864?

Greatest common factor (GCF) of 36846 and 36864 is 18.

GCF(36846,36864) = 18

We will now calculate the prime factors of 36846 and 36864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36846 and 36864.

How to find the GCF of 36846 and 36864?

We will first find the prime factorization of 36846 and 36864. After we will calculate the factors of 36846 and 36864 and find the biggest common factor number .

Step-1: Prime Factorization of 36846

Prime factors of 36846 are 2, 3, 23, 89. Prime factorization of 36846 in exponential form is:

36846 = 2¹ × 3² × 23¹ × 89¹

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 36846

List of positive integer factors of 36846 that divides 36846 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 89, 138, 178, 207, 267, 414, 534, 801, 1602, 2047, 4094, 6141, 12282, 18423

Step-4: Factors of 36864

List of positive integer factors of 36864 that divides 36846 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 36846 and 36864. The biggest common factor number is the GCF number.
So the greatest common factor 36846 and 36864 is 18.

Also check out the Least Common Multiple of 36846 and 36864