What is the Greatest Common Factor of 66309 and 66325?

Greatest common factor (GCF) of 66309 and 66325 is 1.

GCF(66309,66325) = 1

We will now calculate the prime factors of 66309 and 66325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66309 and 66325.

How to find the GCF of 66309 and 66325?

We will first find the prime factorization of 66309 and 66325. After we will calculate the factors of 66309 and 66325 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66325

Prime factors of 66325 are 5, 7, 379. Prime factorization of 66325 in exponential form is:

66325 = 5² × 7¹ × 379¹

Step-3: Factors of 66309

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

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

Step-4: Factors of 66325

List of positive integer factors of 66325 that divides 66309 without a remainder.

1, 5, 7, 25, 35, 175, 379, 1895, 2653, 9475, 13265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66309 and 66325. The biggest common factor number is the GCF number.
So the greatest common factor 66309 and 66325 is 1.

Also check out the Least Common Multiple of 66309 and 66325