What is the Greatest Common Factor of 6740 and 6760?

Greatest common factor (GCF) of 6740 and 6760 is 20.

GCF(6740,6760) = 20

We will now calculate the prime factors of 6740 and 6760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6740 and 6760.

How to find the GCF of 6740 and 6760?

We will first find the prime factorization of 6740 and 6760. After we will calculate the factors of 6740 and 6760 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6760

Prime factors of 6760 are 2, 5, 13. Prime factorization of 6760 in exponential form is:

6760 = 2³ × 5¹ × 13²

Step-3: Factors of 6740

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

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

Step-4: Factors of 6760

List of positive integer factors of 6760 that divides 6740 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 169, 260, 338, 520, 676, 845, 1352, 1690, 3380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6740 and 6760. The biggest common factor number is the GCF number.
So the greatest common factor 6740 and 6760 is 20.

Also check out the Least Common Multiple of 6740 and 6760