What is the Greatest Common Factor of 66305 and 66309?

Greatest common factor (GCF) of 66305 and 66309 is 1.

GCF(66305,66309) = 1

We will now calculate the prime factors of 66305 and 66309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66305 and 66309.

How to find the GCF of 66305 and 66309?

We will first find the prime factorization of 66305 and 66309. After we will calculate the factors of 66305 and 66309 and find the biggest common factor number .

Step-1: Prime Factorization of 66305

Prime factors of 66305 are 5, 89, 149. Prime factorization of 66305 in exponential form is:

66305 = 5¹ × 89¹ × 149¹

Step-2: Prime Factorization of 66309

Prime factors of 66309 are 3, 23, 31. Prime factorization of 66309 in exponential form is:

66309 = 3¹ × 23¹ × 31²

Step-3: Factors of 66305

List of positive integer factors of 66305 that divides 66305 without a remainder.

1, 5, 89, 149, 445, 745, 13261

Step-4: Factors of 66309

List of positive integer factors of 66309 that divides 66305 without a remainder.

1, 3, 23, 31, 69, 93, 713, 961, 2139, 2883, 22103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66305 and 66309. The biggest common factor number is the GCF number.
So the greatest common factor 66305 and 66309 is 1.

Also check out the Least Common Multiple of 66305 and 66309