What is the Greatest Common Factor of 6724 and 6739?

Greatest common factor (GCF) of 6724 and 6739 is 1.

GCF(6724,6739) = 1

We will now calculate the prime factors of 6724 and 6739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6724 and 6739.

How to find the GCF of 6724 and 6739?

We will first find the prime factorization of 6724 and 6739. After we will calculate the factors of 6724 and 6739 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 6739

Prime factors of 6739 are 23, 293. Prime factorization of 6739 in exponential form is:

6739 = 23¹ × 293¹

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 6739

List of positive integer factors of 6739 that divides 6724 without a remainder.

1, 23, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6724 and 6739. The biggest common factor number is the GCF number.
So the greatest common factor 6724 and 6739 is 1.

Also check out the Least Common Multiple of 6724 and 6739