What is the Greatest Common Factor of 18768 and 18784?

Greatest common factor (GCF) of 18768 and 18784 is 16.

GCF(18768,18784) = 16

We will now calculate the prime factors of 18768 and 18784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18768 and 18784.

How to find the GCF of 18768 and 18784?

We will first find the prime factorization of 18768 and 18784. After we will calculate the factors of 18768 and 18784 and find the biggest common factor number .

Step-1: Prime Factorization of 18768

Prime factors of 18768 are 2, 3, 17, 23. Prime factorization of 18768 in exponential form is:

18768 = 2⁴ × 3¹ × 17¹ × 23¹

Step-2: Prime Factorization of 18784

Prime factors of 18784 are 2, 587. Prime factorization of 18784 in exponential form is:

18784 = 2⁵ × 587¹

Step-3: Factors of 18768

List of positive integer factors of 18768 that divides 18768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 23, 24, 34, 46, 48, 51, 68, 69, 92, 102, 136, 138, 184, 204, 272, 276, 368, 391, 408, 552, 782, 816, 1104, 1173, 1564, 2346, 3128, 4692, 6256, 9384

Step-4: Factors of 18784

List of positive integer factors of 18784 that divides 18768 without a remainder.

1, 2, 4, 8, 16, 32, 587, 1174, 2348, 4696, 9392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18768 and 18784. The biggest common factor number is the GCF number.
So the greatest common factor 18768 and 18784 is 16.

Also check out the Least Common Multiple of 18768 and 18784