What is the Greatest Common Factor of 6714 and 6724?

Greatest common factor (GCF) of 6714 and 6724 is 2.

GCF(6714,6724) = 2

We will now calculate the prime factors of 6714 and 6724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6714 and 6724.

How to find the GCF of 6714 and 6724?

We will first find the prime factorization of 6714 and 6724. After we will calculate the factors of 6714 and 6724 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 6724

Prime factors of 6724 are 2, 41. Prime factorization of 6724 in exponential form is:

6724 = 2² × 41²

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 6724

List of positive integer factors of 6724 that divides 6714 without a remainder.

1, 2, 4, 41, 82, 164, 1681, 3362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6714 and 6724. The biggest common factor number is the GCF number.
So the greatest common factor 6714 and 6724 is 2.

Also check out the Least Common Multiple of 6714 and 6724