What is the Greatest Common Factor of 20689 and 20704?

Greatest common factor (GCF) of 20689 and 20704 is 1.

GCF(20689,20704) = 1

We will now calculate the prime factors of 20689 and 20704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20689 and 20704.

How to find the GCF of 20689 and 20704?

We will first find the prime factorization of 20689 and 20704. After we will calculate the factors of 20689 and 20704 and find the biggest common factor number .

Step-1: Prime Factorization of 20689

Prime factors of 20689 are 17, 1217. Prime factorization of 20689 in exponential form is:

20689 = 17¹ × 1217¹

Step-2: Prime Factorization of 20704

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

20704 = 2⁵ × 647¹

Step-3: Factors of 20689

List of positive integer factors of 20689 that divides 20689 without a remainder.

1, 17, 1217

Step-4: Factors of 20704

List of positive integer factors of 20704 that divides 20689 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20689 and 20704. The biggest common factor number is the GCF number.
So the greatest common factor 20689 and 20704 is 1.

Also check out the Least Common Multiple of 20689 and 20704