What is the Greatest Common Factor of 6704 and 6721?

Greatest common factor (GCF) of 6704 and 6721 is 1.

GCF(6704,6721) = 1

We will now calculate the prime factors of 6704 and 6721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6704 and 6721.

How to find the GCF of 6704 and 6721?

We will first find the prime factorization of 6704 and 6721. After we will calculate the factors of 6704 and 6721 and find the biggest common factor number .

Step-1: Prime Factorization of 6704

Prime factors of 6704 are 2, 419. Prime factorization of 6704 in exponential form is:

6704 = 2⁴ × 419¹

Step-2: Prime Factorization of 6721

Prime factors of 6721 are 11, 13, 47. Prime factorization of 6721 in exponential form is:

6721 = 11¹ × 13¹ × 47¹

Step-3: Factors of 6704

List of positive integer factors of 6704 that divides 6704 without a remainder.

1, 2, 4, 8, 16, 419, 838, 1676, 3352

Step-4: Factors of 6721

List of positive integer factors of 6721 that divides 6704 without a remainder.

1, 11, 13, 47, 143, 517, 611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6704 and 6721. The biggest common factor number is the GCF number.
So the greatest common factor 6704 and 6721 is 1.

Also check out the Least Common Multiple of 6704 and 6721