What is the Greatest Common Factor of 16784 and 16804?

Greatest common factor (GCF) of 16784 and 16804 is 4.

GCF(16784,16804) = 4

We will now calculate the prime factors of 16784 and 16804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16784 and 16804.

How to find the GCF of 16784 and 16804?

We will first find the prime factorization of 16784 and 16804. After we will calculate the factors of 16784 and 16804 and find the biggest common factor number .

Step-1: Prime Factorization of 16784

Prime factors of 16784 are 2, 1049. Prime factorization of 16784 in exponential form is:

16784 = 2⁴ × 1049¹

Step-2: Prime Factorization of 16804

Prime factors of 16804 are 2, 4201. Prime factorization of 16804 in exponential form is:

16804 = 2² × 4201¹

Step-3: Factors of 16784

List of positive integer factors of 16784 that divides 16784 without a remainder.

1, 2, 4, 8, 16, 1049, 2098, 4196, 8392

Step-4: Factors of 16804

List of positive integer factors of 16804 that divides 16784 without a remainder.

1, 2, 4, 4201, 8402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16784 and 16804. The biggest common factor number is the GCF number.
So the greatest common factor 16784 and 16804 is 4.

Also check out the Least Common Multiple of 16784 and 16804