What is the Greatest Common Factor of 6714 and 6730?

Greatest common factor (GCF) of 6714 and 6730 is 2.

GCF(6714,6730) = 2

We will now calculate the prime factors of 6714 and 6730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6714 and 6730.

How to find the GCF of 6714 and 6730?

We will first find the prime factorization of 6714 and 6730. After we will calculate the factors of 6714 and 6730 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 6730

Prime factors of 6730 are 2, 5, 673. Prime factorization of 6730 in exponential form is:

6730 = 2¹ × 5¹ × 673¹

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 6730

List of positive integer factors of 6730 that divides 6714 without a remainder.

1, 2, 5, 10, 673, 1346, 3365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6714 and 6730. The biggest common factor number is the GCF number.
So the greatest common factor 6714 and 6730 is 2.

Also check out the Least Common Multiple of 6714 and 6730