What is the Greatest Common Factor of 6800 and 6816?

Greatest common factor (GCF) of 6800 and 6816 is 16.

GCF(6800,6816) = 16

We will now calculate the prime factors of 6800 and 6816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6800 and 6816.

How to find the GCF of 6800 and 6816?

We will first find the prime factorization of 6800 and 6816. After we will calculate the factors of 6800 and 6816 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 6816

Prime factors of 6816 are 2, 3, 71. Prime factorization of 6816 in exponential form is:

6816 = 2⁵ × 3¹ × 71¹

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 6816

List of positive integer factors of 6816 that divides 6800 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 71, 96, 142, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6800 and 6816. The biggest common factor number is the GCF number.
So the greatest common factor 6800 and 6816 is 16.

Also check out the Least Common Multiple of 6800 and 6816