What is the Greatest Common Factor of 18768 and 18778?

Greatest common factor (GCF) of 18768 and 18778 is 2.

GCF(18768,18778) = 2

We will now calculate the prime factors of 18768 and 18778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18768 and 18778.

How to find the GCF of 18768 and 18778?

We will first find the prime factorization of 18768 and 18778. After we will calculate the factors of 18768 and 18778 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 18778

Prime factors of 18778 are 2, 41, 229. Prime factorization of 18778 in exponential form is:

18778 = 2¹ × 41¹ × 229¹

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 18778

List of positive integer factors of 18778 that divides 18768 without a remainder.

1, 2, 41, 82, 229, 458, 9389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18768 and 18778. The biggest common factor number is the GCF number.
So the greatest common factor 18768 and 18778 is 2.

Also check out the Least Common Multiple of 18768 and 18778