What is the Greatest Common Factor of 6724 and 6742?

Greatest common factor (GCF) of 6724 and 6742 is 2.

GCF(6724,6742) = 2

We will now calculate the prime factors of 6724 and 6742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6724 and 6742.

How to find the GCF of 6724 and 6742?

We will first find the prime factorization of 6724 and 6742. After we will calculate the factors of 6724 and 6742 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 6742

Prime factors of 6742 are 2, 3371. Prime factorization of 6742 in exponential form is:

6742 = 2¹ × 3371¹

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 6742

List of positive integer factors of 6742 that divides 6724 without a remainder.

1, 2, 3371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6724 and 6742. The biggest common factor number is the GCF number.
So the greatest common factor 6724 and 6742 is 2.

Also check out the Least Common Multiple of 6724 and 6742