What is the Greatest Common Factor of 36784 and 36798?

Greatest common factor (GCF) of 36784 and 36798 is 2.

GCF(36784,36798) = 2

We will now calculate the prime factors of 36784 and 36798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36784 and 36798.

How to find the GCF of 36784 and 36798?

We will first find the prime factorization of 36784 and 36798. After we will calculate the factors of 36784 and 36798 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36798

Prime factors of 36798 are 2, 3, 6133. Prime factorization of 36798 in exponential form is:

36798 = 2¹ × 3¹ × 6133¹

Step-3: Factors of 36784

List of positive integer factors of 36784 that divides 36784 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

Step-4: Factors of 36798

List of positive integer factors of 36798 that divides 36784 without a remainder.

1, 2, 3, 6, 6133, 12266, 18399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36784 and 36798. The biggest common factor number is the GCF number.
So the greatest common factor 36784 and 36798 is 2.

Also check out the Least Common Multiple of 36784 and 36798