What is the Greatest Common Factor of 6689 and 6705?

Greatest common factor (GCF) of 6689 and 6705 is 1.

GCF(6689,6705) = 1

We will now calculate the prime factors of 6689 and 6705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6689 and 6705.

How to find the GCF of 6689 and 6705?

We will first find the prime factorization of 6689 and 6705. After we will calculate the factors of 6689 and 6705 and find the biggest common factor number .

Step-1: Prime Factorization of 6689

Prime factors of 6689 are 6689. Prime factorization of 6689 in exponential form is:

6689 = 6689¹

Step-2: Prime Factorization of 6705

Prime factors of 6705 are 3, 5, 149. Prime factorization of 6705 in exponential form is:

6705 = 3² × 5¹ × 149¹

Step-3: Factors of 6689

List of positive integer factors of 6689 that divides 6689 without a remainder.

Step-4: Factors of 6705

List of positive integer factors of 6705 that divides 6689 without a remainder.

1, 3, 5, 9, 15, 45, 149, 447, 745, 1341, 2235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6689 and 6705. The biggest common factor number is the GCF number.
So the greatest common factor 6689 and 6705 is 1.

Also check out the Least Common Multiple of 6689 and 6705