What is the Greatest Common Factor of 6816 and 6830?

Greatest common factor (GCF) of 6816 and 6830 is 2.

GCF(6816,6830) = 2

We will now calculate the prime factors of 6816 and 6830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6816 and 6830.

How to find the GCF of 6816 and 6830?

We will first find the prime factorization of 6816 and 6830. After we will calculate the factors of 6816 and 6830 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6830

Prime factors of 6830 are 2, 5, 683. Prime factorization of 6830 in exponential form is:

6830 = 2¹ × 5¹ × 683¹

Step-3: Factors of 6816

List of positive integer factors of 6816 that divides 6816 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

Step-4: Factors of 6830

List of positive integer factors of 6830 that divides 6816 without a remainder.

1, 2, 5, 10, 683, 1366, 3415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6816 and 6830. The biggest common factor number is the GCF number.
So the greatest common factor 6816 and 6830 is 2.

Also check out the Least Common Multiple of 6816 and 6830