What is the Greatest Common Factor of 6800 and 6817?

Greatest common factor (GCF) of 6800 and 6817 is 17.

GCF(6800,6817) = 17

We will now calculate the prime factors of 6800 and 6817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6800 and 6817.

How to find the GCF of 6800 and 6817?

We will first find the prime factorization of 6800 and 6817. After we will calculate the factors of 6800 and 6817 and find the biggest common factor number .

Step-1: Prime Factorization of 6800

Prime factors of 6800 are 2, 5, 17. Prime factorization of 6800 in exponential form is:

6800 = 2⁴ × 5² × 17¹

Step-2: Prime Factorization of 6817

Prime factors of 6817 are 17, 401. Prime factorization of 6817 in exponential form is:

6817 = 17¹ × 401¹

Step-3: Factors of 6800

List of positive integer factors of 6800 that divides 6800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85, 100, 136, 170, 200, 272, 340, 400, 425, 680, 850, 1360, 1700, 3400

Step-4: Factors of 6817

List of positive integer factors of 6817 that divides 6800 without a remainder.

1, 17, 401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6800 and 6817. The biggest common factor number is the GCF number.
So the greatest common factor 6800 and 6817 is 17.

Also check out the Least Common Multiple of 6800 and 6817