What is the Greatest Common Factor of 16786 and 16797?

Greatest common factor (GCF) of 16786 and 16797 is 11.

GCF(16786,16797) = 11

We will now calculate the prime factors of 16786 and 16797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16786 and 16797.

How to find the GCF of 16786 and 16797?

We will first find the prime factorization of 16786 and 16797. After we will calculate the factors of 16786 and 16797 and find the biggest common factor number .

Step-1: Prime Factorization of 16786

Prime factors of 16786 are 2, 7, 11, 109. Prime factorization of 16786 in exponential form is:

16786 = 2¹ × 7¹ × 11¹ × 109¹

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 16786

List of positive integer factors of 16786 that divides 16786 without a remainder.

1, 2, 7, 11, 14, 22, 77, 109, 154, 218, 763, 1199, 1526, 2398, 8393

Step-4: Factors of 16797

List of positive integer factors of 16797 that divides 16786 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16786 and 16797. The biggest common factor number is the GCF number.
So the greatest common factor 16786 and 16797 is 11.

Also check out the Least Common Multiple of 16786 and 16797