What is the Greatest Common Factor of 6714 and 6727?

Greatest common factor (GCF) of 6714 and 6727 is 1.

GCF(6714,6727) = 1

We will now calculate the prime factors of 6714 and 6727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6714 and 6727.

How to find the GCF of 6714 and 6727?

We will first find the prime factorization of 6714 and 6727. After we will calculate the factors of 6714 and 6727 and find the biggest common factor number .

Step-1: Prime Factorization of 6714

Prime factors of 6714 are 2, 3, 373. Prime factorization of 6714 in exponential form is:

6714 = 2¹ × 3² × 373¹

Step-2: Prime Factorization of 6727

Prime factors of 6727 are 7, 31. Prime factorization of 6727 in exponential form is:

6727 = 7¹ × 31²

Step-3: Factors of 6714

List of positive integer factors of 6714 that divides 6714 without a remainder.

1, 2, 3, 6, 9, 18, 373, 746, 1119, 2238, 3357

Step-4: Factors of 6727

List of positive integer factors of 6727 that divides 6714 without a remainder.

1, 7, 31, 217, 961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6714 and 6727. The biggest common factor number is the GCF number.
So the greatest common factor 6714 and 6727 is 1.

Also check out the Least Common Multiple of 6714 and 6727