What is the Greatest Common Factor of 16800 and 16817?

Greatest common factor (GCF) of 16800 and 16817 is 1.

GCF(16800,16817) = 1

We will now calculate the prime factors of 16800 and 16817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16800 and 16817.

How to find the GCF of 16800 and 16817?

We will first find the prime factorization of 16800 and 16817. After we will calculate the factors of 16800 and 16817 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 16817

Prime factors of 16817 are 67, 251. Prime factorization of 16817 in exponential form is:

16817 = 67¹ × 251¹

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 16817

List of positive integer factors of 16817 that divides 16800 without a remainder.

1, 67, 251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16800 and 16817. The biggest common factor number is the GCF number.
So the greatest common factor 16800 and 16817 is 1.

Also check out the Least Common Multiple of 16800 and 16817