What is the Greatest Common Factor of 18804 and 18814?

Greatest common factor (GCF) of 18804 and 18814 is 2.

GCF(18804,18814) = 2

We will now calculate the prime factors of 18804 and 18814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18804 and 18814.

How to find the GCF of 18804 and 18814?

We will first find the prime factorization of 18804 and 18814. After we will calculate the factors of 18804 and 18814 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18814

Prime factors of 18814 are 2, 23, 409. Prime factorization of 18814 in exponential form is:

18814 = 2¹ × 23¹ × 409¹

Step-3: Factors of 18804

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

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

Step-4: Factors of 18814

List of positive integer factors of 18814 that divides 18804 without a remainder.

1, 2, 23, 46, 409, 818, 9407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18804 and 18814. The biggest common factor number is the GCF number.
So the greatest common factor 18804 and 18814 is 2.

Also check out the Least Common Multiple of 18804 and 18814