What is the Greatest Common Factor of 18785 and 18805?

Greatest common factor (GCF) of 18785 and 18805 is 5.

GCF(18785,18805) = 5

We will now calculate the prime factors of 18785 and 18805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18785 and 18805.

How to find the GCF of 18785 and 18805?

We will first find the prime factorization of 18785 and 18805. After we will calculate the factors of 18785 and 18805 and find the biggest common factor number .

Step-1: Prime Factorization of 18785

Prime factors of 18785 are 5, 13, 17. Prime factorization of 18785 in exponential form is:

18785 = 5¹ × 13¹ × 17²

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 18785

List of positive integer factors of 18785 that divides 18785 without a remainder.

1, 5, 13, 17, 65, 85, 221, 289, 1105, 1445, 3757

Step-4: Factors of 18805

List of positive integer factors of 18805 that divides 18785 without a remainder.

1, 5, 3761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18785 and 18805. The biggest common factor number is the GCF number.
So the greatest common factor 18785 and 18805 is 5.

Also check out the Least Common Multiple of 18785 and 18805