What is the Greatest Common Factor of 16785 and 16795?

Greatest common factor (GCF) of 16785 and 16795 is 5.

GCF(16785,16795) = 5

We will now calculate the prime factors of 16785 and 16795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16785 and 16795.

How to find the GCF of 16785 and 16795?

We will first find the prime factorization of 16785 and 16795. After we will calculate the factors of 16785 and 16795 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 16795

Prime factors of 16795 are 5, 3359. Prime factorization of 16795 in exponential form is:

16795 = 5¹ × 3359¹

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 16795

List of positive integer factors of 16795 that divides 16785 without a remainder.

1, 5, 3359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16785 and 16795. The biggest common factor number is the GCF number.
So the greatest common factor 16785 and 16795 is 5.

Also check out the Least Common Multiple of 16785 and 16795