What is the Greatest Common Factor of 16785 and 16805?

Greatest common factor (GCF) of 16785 and 16805 is 5.

GCF(16785,16805) = 5

We will now calculate the prime factors of 16785 and 16805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16785 and 16805.

How to find the GCF of 16785 and 16805?

We will first find the prime factorization of 16785 and 16805. After we will calculate the factors of 16785 and 16805 and find the biggest common factor number .

Step-1: Prime Factorization of 16785

Prime factors of 16785 are 3, 5, 373. Prime factorization of 16785 in exponential form is:

16785 = 3² × 5¹ × 373¹

Step-2: Prime Factorization of 16805

Prime factors of 16805 are 5, 3361. Prime factorization of 16805 in exponential form is:

16805 = 5¹ × 3361¹

Step-3: Factors of 16785

List of positive integer factors of 16785 that divides 16785 without a remainder.

1, 3, 5, 9, 15, 45, 373, 1119, 1865, 3357, 5595

Step-4: Factors of 16805

List of positive integer factors of 16805 that divides 16785 without a remainder.

1, 5, 3361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16785 and 16805. The biggest common factor number is the GCF number.
So the greatest common factor 16785 and 16805 is 5.

Also check out the Least Common Multiple of 16785 and 16805