What is the Greatest Common Factor of 36864 and 36876?

Greatest common factor (GCF) of 36864 and 36876 is 12.

GCF(36864,36876) = 12

We will now calculate the prime factors of 36864 and 36876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36864 and 36876.

How to find the GCF of 36864 and 36876?

We will first find the prime factorization of 36864 and 36876. After we will calculate the factors of 36864 and 36876 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 36876

Prime factors of 36876 are 2, 3, 7, 439. Prime factorization of 36876 in exponential form is:

36876 = 2² × 3¹ × 7¹ × 439¹

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 36876

List of positive integer factors of 36876 that divides 36864 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 439, 878, 1317, 1756, 2634, 3073, 5268, 6146, 9219, 12292, 18438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36864 and 36876. The biggest common factor number is the GCF number.
So the greatest common factor 36864 and 36876 is 12.

Also check out the Least Common Multiple of 36864 and 36876