What is the Greatest Common Factor of 16800 and 16811?

Greatest common factor (GCF) of 16800 and 16811 is 1.

GCF(16800,16811) = 1

We will now calculate the prime factors of 16800 and 16811, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16800 and 16811.

How to find the GCF of 16800 and 16811?

We will first find the prime factorization of 16800 and 16811. After we will calculate the factors of 16800 and 16811 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16811

Prime factors of 16811 are 16811. Prime factorization of 16811 in exponential form is:

16811 = 16811¹

Step-3: Factors of 16800

List of positive integer factors of 16800 that divides 16800 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

Step-4: Factors of 16811

List of positive integer factors of 16811 that divides 16800 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16800 and 16811. The biggest common factor number is the GCF number.
So the greatest common factor 16800 and 16811 is 1.

Also check out the Least Common Multiple of 16800 and 16811