What is the Greatest Common Factor of 18792 and 18804?

Greatest common factor (GCF) of 18792 and 18804 is 12.

GCF(18792,18804) = 12

We will now calculate the prime factors of 18792 and 18804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18792 and 18804.

How to find the GCF of 18792 and 18804?

We will first find the prime factorization of 18792 and 18804. After we will calculate the factors of 18792 and 18804 and find the biggest common factor number .

Step-1: Prime Factorization of 18792

Prime factors of 18792 are 2, 3, 29. Prime factorization of 18792 in exponential form is:

18792 = 2³ × 3⁴ × 29¹

Step-2: Prime Factorization of 18804

Prime factors of 18804 are 2, 3, 1567. Prime factorization of 18804 in exponential form is:

18804 = 2² × 3¹ × 1567¹

Step-3: Factors of 18792

List of positive integer factors of 18792 that divides 18792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 29, 36, 54, 58, 72, 81, 87, 108, 116, 162, 174, 216, 232, 261, 324, 348, 522, 648, 696, 783, 1044, 1566, 2088, 2349, 3132, 4698, 6264, 9396

Step-4: Factors of 18804

List of positive integer factors of 18804 that divides 18792 without a remainder.

1, 2, 3, 4, 6, 12, 1567, 3134, 4701, 6268, 9402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18792 and 18804. The biggest common factor number is the GCF number.
So the greatest common factor 18792 and 18804 is 12.

Also check out the Least Common Multiple of 18792 and 18804