What is the Greatest Common Factor of 6730 and 6740?

Greatest common factor (GCF) of 6730 and 6740 is 10.

GCF(6730,6740) = 10

We will now calculate the prime factors of 6730 and 6740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6730 and 6740.

How to find the GCF of 6730 and 6740?

We will first find the prime factorization of 6730 and 6740. After we will calculate the factors of 6730 and 6740 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6740

Prime factors of 6740 are 2, 5, 337. Prime factorization of 6740 in exponential form is:

6740 = 2² × 5¹ × 337¹

Step-3: Factors of 6730

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

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

Step-4: Factors of 6740

List of positive integer factors of 6740 that divides 6730 without a remainder.

1, 2, 4, 5, 10, 20, 337, 674, 1348, 1685, 3370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6730 and 6740. The biggest common factor number is the GCF number.
So the greatest common factor 6730 and 6740 is 10.

Also check out the Least Common Multiple of 6730 and 6740