What is the Greatest Common Factor of 36768 and 36784?

Greatest common factor (GCF) of 36768 and 36784 is 16.

GCF(36768,36784) = 16

We will now calculate the prime factors of 36768 and 36784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36768 and 36784.

How to find the GCF of 36768 and 36784?

We will first find the prime factorization of 36768 and 36784. After we will calculate the factors of 36768 and 36784 and find the biggest common factor number .

Step-1: Prime Factorization of 36768

Prime factors of 36768 are 2, 3, 383. Prime factorization of 36768 in exponential form is:

36768 = 2⁵ × 3¹ × 383¹

Step-2: Prime Factorization of 36784

Prime factors of 36784 are 2, 11, 19. Prime factorization of 36784 in exponential form is:

36784 = 2⁴ × 11² × 19¹

Step-3: Factors of 36768

List of positive integer factors of 36768 that divides 36768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 383, 766, 1149, 1532, 2298, 3064, 4596, 6128, 9192, 12256, 18384

Step-4: Factors of 36784

List of positive integer factors of 36784 that divides 36768 without a remainder.

1, 2, 4, 8, 11, 16, 19, 22, 38, 44, 76, 88, 121, 152, 176, 209, 242, 304, 418, 484, 836, 968, 1672, 1936, 2299, 3344, 4598, 9196, 18392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36768 and 36784. The biggest common factor number is the GCF number.
So the greatest common factor 36768 and 36784 is 16.

Also check out the Least Common Multiple of 36768 and 36784