What is the Greatest Common Factor of 2704 and 2723?

Greatest common factor (GCF) of 2704 and 2723 is 1.

GCF(2704,2723) = 1

We will now calculate the prime factors of 2704 and 2723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2704 and 2723.

How to find the GCF of 2704 and 2723?

We will first find the prime factorization of 2704 and 2723. After we will calculate the factors of 2704 and 2723 and find the biggest common factor number .

Step-1: Prime Factorization of 2704

Prime factors of 2704 are 2, 13. Prime factorization of 2704 in exponential form is:

2704 = 2⁴ × 13²

Step-2: Prime Factorization of 2723

Prime factors of 2723 are 7, 389. Prime factorization of 2723 in exponential form is:

2723 = 7¹ × 389¹

Step-3: Factors of 2704

List of positive integer factors of 2704 that divides 2704 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352

Step-4: Factors of 2723

List of positive integer factors of 2723 that divides 2704 without a remainder.

1, 7, 389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2704 and 2723. The biggest common factor number is the GCF number.
So the greatest common factor 2704 and 2723 is 1.

Also check out the Least Common Multiple of 2704 and 2723