What is the Greatest Common Factor of 6711 and 6723?

Greatest common factor (GCF) of 6711 and 6723 is 3.

GCF(6711,6723) = 3

We will now calculate the prime factors of 6711 and 6723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6711 and 6723.

How to find the GCF of 6711 and 6723?

We will first find the prime factorization of 6711 and 6723. After we will calculate the factors of 6711 and 6723 and find the biggest common factor number .

Step-1: Prime Factorization of 6711

Prime factors of 6711 are 3, 2237. Prime factorization of 6711 in exponential form is:

6711 = 3¹ × 2237¹

Step-2: Prime Factorization of 6723

Prime factors of 6723 are 3, 83. Prime factorization of 6723 in exponential form is:

6723 = 3⁴ × 83¹

Step-3: Factors of 6711

List of positive integer factors of 6711 that divides 6711 without a remainder.

1, 3, 2237

Step-4: Factors of 6723

List of positive integer factors of 6723 that divides 6711 without a remainder.

1, 3, 9, 27, 81, 83, 249, 747, 2241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6711 and 6723. The biggest common factor number is the GCF number.
So the greatest common factor 6711 and 6723 is 3.

Also check out the Least Common Multiple of 6711 and 6723