What is the Greatest Common Factor of 16785 and 16790?

Greatest common factor (GCF) of 16785 and 16790 is 5.

GCF(16785,16790) = 5

We will now calculate the prime factors of 16785 and 16790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16785 and 16790.

How to find the GCF of 16785 and 16790?

We will first find the prime factorization of 16785 and 16790. After we will calculate the factors of 16785 and 16790 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 16790

Prime factors of 16790 are 2, 5, 23, 73. Prime factorization of 16790 in exponential form is:

16790 = 2¹ × 5¹ × 23¹ × 73¹

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 16790

List of positive integer factors of 16790 that divides 16785 without a remainder.

1, 2, 5, 10, 23, 46, 73, 115, 146, 230, 365, 730, 1679, 3358, 8395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16785 and 16790. The biggest common factor number is the GCF number.
So the greatest common factor 16785 and 16790 is 5.

Also check out the Least Common Multiple of 16785 and 16790