What is the Greatest Common Factor of 16791 and 16797?

Greatest common factor (GCF) of 16791 and 16797 is 3.

GCF(16791,16797) = 3

We will now calculate the prime factors of 16791 and 16797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16791 and 16797.

How to find the GCF of 16791 and 16797?

We will first find the prime factorization of 16791 and 16797. After we will calculate the factors of 16791 and 16797 and find the biggest common factor number .

Step-1: Prime Factorization of 16791

Prime factors of 16791 are 3, 29, 193. Prime factorization of 16791 in exponential form is:

16791 = 3¹ × 29¹ × 193¹

Step-2: Prime Factorization of 16797

Prime factors of 16797 are 3, 11, 509. Prime factorization of 16797 in exponential form is:

16797 = 3¹ × 11¹ × 509¹

Step-3: Factors of 16791

List of positive integer factors of 16791 that divides 16791 without a remainder.

1, 3, 29, 87, 193, 579, 5597

Step-4: Factors of 16797

List of positive integer factors of 16797 that divides 16791 without a remainder.

1, 3, 11, 33, 509, 1527, 5599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16791 and 16797. The biggest common factor number is the GCF number.
So the greatest common factor 16791 and 16797 is 3.

Also check out the Least Common Multiple of 16791 and 16797