What is the Greatest Common Factor of 16784 and 16800?

Greatest common factor (GCF) of 16784 and 16800 is 16.

GCF(16784,16800) = 16

We will now calculate the prime factors of 16784 and 16800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16784 and 16800.

How to find the GCF of 16784 and 16800?

We will first find the prime factorization of 16784 and 16800. After we will calculate the factors of 16784 and 16800 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 16800

Prime factors of 16800 are 2, 3, 5, 7. Prime factorization of 16800 in exponential form is:

16800 = 2⁵ × 3¹ × 5² × 7¹

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 16800

List of positive integer factors of 16800 that divides 16784 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 32, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 96, 100, 105, 112, 120, 140, 150, 160, 168, 175, 200, 210, 224, 240, 280, 300, 336, 350, 400, 420, 480, 525, 560, 600, 672, 700, 800, 840, 1050, 1120, 1200, 1400, 1680, 2100, 2400, 2800, 3360, 4200, 5600, 8400

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16784 and 16800. The biggest common factor number is the GCF number.
So the greatest common factor 16784 and 16800 is 16.

Also check out the Least Common Multiple of 16784 and 16800