What is the Greatest Common Factor of 20704 and 20723?

Greatest common factor (GCF) of 20704 and 20723 is 1.

GCF(20704,20723) = 1

We will now calculate the prime factors of 20704 and 20723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20704 and 20723.

How to find the GCF of 20704 and 20723?

We will first find the prime factorization of 20704 and 20723. After we will calculate the factors of 20704 and 20723 and find the biggest common factor number .

Step-1: Prime Factorization of 20704

Prime factors of 20704 are 2, 647. Prime factorization of 20704 in exponential form is:

20704 = 2⁵ × 647¹

Step-2: Prime Factorization of 20723

Prime factors of 20723 are 17, 23, 53. Prime factorization of 20723 in exponential form is:

20723 = 17¹ × 23¹ × 53¹

Step-3: Factors of 20704

List of positive integer factors of 20704 that divides 20704 without a remainder.

1, 2, 4, 8, 16, 32, 647, 1294, 2588, 5176, 10352

Step-4: Factors of 20723

List of positive integer factors of 20723 that divides 20704 without a remainder.

1, 17, 23, 53, 391, 901, 1219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20704 and 20723. The biggest common factor number is the GCF number.
So the greatest common factor 20704 and 20723 is 1.

Also check out the Least Common Multiple of 20704 and 20723