What is the Greatest Common Factor of 16782 and 16798?

Greatest common factor (GCF) of 16782 and 16798 is 2.

GCF(16782,16798) = 2

We will now calculate the prime factors of 16782 and 16798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16782 and 16798.

How to find the GCF of 16782 and 16798?

We will first find the prime factorization of 16782 and 16798. After we will calculate the factors of 16782 and 16798 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16798

Prime factors of 16798 are 2, 37, 227. Prime factorization of 16798 in exponential form is:

16798 = 2¹ × 37¹ × 227¹

Step-3: Factors of 16782

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

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

Step-4: Factors of 16798

List of positive integer factors of 16798 that divides 16782 without a remainder.

1, 2, 37, 74, 227, 454, 8399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16782 and 16798. The biggest common factor number is the GCF number.
So the greatest common factor 16782 and 16798 is 2.

Also check out the Least Common Multiple of 16782 and 16798