What is the Greatest Common Factor of 6724 and 6740?

Greatest common factor (GCF) of 6724 and 6740 is 4.

GCF(6724,6740) = 4

We will now calculate the prime factors of 6724 and 6740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6724 and 6740.

How to find the GCF of 6724 and 6740?

We will first find the prime factorization of 6724 and 6740. After we will calculate the factors of 6724 and 6740 and find the biggest common factor number .

Step-1: Prime Factorization of 6724

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

6724 = 2² × 41²

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 6724

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

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

Step-4: Factors of 6740

List of positive integer factors of 6740 that divides 6724 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 6724 and 6740. The biggest common factor number is the GCF number.
So the greatest common factor 6724 and 6740 is 4.

Also check out the Least Common Multiple of 6724 and 6740