What is the Greatest Common Factor of 16792 and 16800?

Greatest common factor (GCF) of 16792 and 16800 is 8.

GCF(16792,16800) = 8

We will now calculate the prime factors of 16792 and 16800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16792 and 16800.

How to find the GCF of 16792 and 16800?

We will first find the prime factorization of 16792 and 16800. After we will calculate the factors of 16792 and 16800 and find the biggest common factor number .

Step-1: Prime Factorization of 16792

Prime factors of 16792 are 2, 2099. Prime factorization of 16792 in exponential form is:

16792 = 2³ × 2099¹

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 16792

List of positive integer factors of 16792 that divides 16792 without a remainder.

1, 2, 4, 8, 2099, 4198, 8396

Step-4: Factors of 16800

List of positive integer factors of 16800 that divides 16792 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 16792 and 16800. The biggest common factor number is the GCF number.
So the greatest common factor 16792 and 16800 is 8.

Also check out the Least Common Multiple of 16792 and 16800