What is the Greatest Common Factor of 18789 and 18805?

Greatest common factor (GCF) of 18789 and 18805 is 1.

GCF(18789,18805) = 1

We will now calculate the prime factors of 18789 and 18805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18789 and 18805.

How to find the GCF of 18789 and 18805?

We will first find the prime factorization of 18789 and 18805. After we will calculate the factors of 18789 and 18805 and find the biggest common factor number .

Step-1: Prime Factorization of 18789

Prime factors of 18789 are 3, 6263. Prime factorization of 18789 in exponential form is:

18789 = 3¹ × 6263¹

Step-2: Prime Factorization of 18805

Prime factors of 18805 are 5, 3761. Prime factorization of 18805 in exponential form is:

18805 = 5¹ × 3761¹

Step-3: Factors of 18789

List of positive integer factors of 18789 that divides 18789 without a remainder.

1, 3, 6263

Step-4: Factors of 18805

List of positive integer factors of 18805 that divides 18789 without a remainder.

1, 5, 3761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18789 and 18805. The biggest common factor number is the GCF number.
So the greatest common factor 18789 and 18805 is 1.

Also check out the Least Common Multiple of 18789 and 18805