What is the Greatest Common Factor of 18819 and 18826?

Greatest common factor (GCF) of 18819 and 18826 is 1.

GCF(18819,18826) = 1

We will now calculate the prime factors of 18819 and 18826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18819 and 18826.

How to find the GCF of 18819 and 18826?

We will first find the prime factorization of 18819 and 18826. After we will calculate the factors of 18819 and 18826 and find the biggest common factor number .

Step-1: Prime Factorization of 18819

Prime factors of 18819 are 3, 17, 41. Prime factorization of 18819 in exponential form is:

18819 = 3³ × 17¹ × 41¹

Step-2: Prime Factorization of 18826

Prime factors of 18826 are 2, 9413. Prime factorization of 18826 in exponential form is:

18826 = 2¹ × 9413¹

Step-3: Factors of 18819

List of positive integer factors of 18819 that divides 18819 without a remainder.

1, 3, 9, 17, 27, 41, 51, 123, 153, 369, 459, 697, 1107, 2091, 6273

Step-4: Factors of 18826

List of positive integer factors of 18826 that divides 18819 without a remainder.

1, 2, 9413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18819 and 18826. The biggest common factor number is the GCF number.
So the greatest common factor 18819 and 18826 is 1.

Also check out the Least Common Multiple of 18819 and 18826