What is the Greatest Common Factor of 6816 and 6827?

Greatest common factor (GCF) of 6816 and 6827 is 1.

GCF(6816,6827) = 1

We will now calculate the prime factors of 6816 and 6827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6816 and 6827.

How to find the GCF of 6816 and 6827?

We will first find the prime factorization of 6816 and 6827. After we will calculate the factors of 6816 and 6827 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 6827

Prime factors of 6827 are 6827. Prime factorization of 6827 in exponential form is:

6827 = 6827¹

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 6827

List of positive integer factors of 6827 that divides 6816 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6816 and 6827. The biggest common factor number is the GCF number.
So the greatest common factor 6816 and 6827 is 1.

Also check out the Least Common Multiple of 6816 and 6827