What is the Greatest Common Factor of 16767 and 16782?

Greatest common factor (GCF) of 16767 and 16782 is 3.

GCF(16767,16782) = 3

We will now calculate the prime factors of 16767 and 16782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16767 and 16782.

How to find the GCF of 16767 and 16782?

We will first find the prime factorization of 16767 and 16782. After we will calculate the factors of 16767 and 16782 and find the biggest common factor number .

Step-1: Prime Factorization of 16767

Prime factors of 16767 are 3, 23. Prime factorization of 16767 in exponential form is:

16767 = 3⁶ × 23¹

Step-2: Prime Factorization of 16782

Prime factors of 16782 are 2, 3, 2797. Prime factorization of 16782 in exponential form is:

16782 = 2¹ × 3¹ × 2797¹

Step-3: Factors of 16767

List of positive integer factors of 16767 that divides 16767 without a remainder.

1, 3, 9, 23, 27, 69, 81, 207, 243, 621, 729, 1863, 5589

Step-4: Factors of 16782

List of positive integer factors of 16782 that divides 16767 without a remainder.

1, 2, 3, 6, 2797, 5594, 8391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16767 and 16782. The biggest common factor number is the GCF number.
So the greatest common factor 16767 and 16782 is 3.

Also check out the Least Common Multiple of 16767 and 16782