What is the Greatest Common Factor of 52305 and 52309?

Greatest common factor (GCF) of 52305 and 52309 is 1.

GCF(52305,52309) = 1

We will now calculate the prime factors of 52305 and 52309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52305 and 52309.

How to find the GCF of 52305 and 52309?

We will first find the prime factorization of 52305 and 52309. After we will calculate the factors of 52305 and 52309 and find the biggest common factor number .

Step-1: Prime Factorization of 52305

Prime factors of 52305 are 3, 5, 11, 317. Prime factorization of 52305 in exponential form is:

52305 = 3¹ × 5¹ × 11¹ × 317¹

Step-2: Prime Factorization of 52309

Prime factors of 52309 are 17, 181. Prime factorization of 52309 in exponential form is:

52309 = 17² × 181¹

Step-3: Factors of 52305

List of positive integer factors of 52305 that divides 52305 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 317, 951, 1585, 3487, 4755, 10461, 17435

Step-4: Factors of 52309

List of positive integer factors of 52309 that divides 52305 without a remainder.

1, 17, 181, 289, 3077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52305 and 52309. The biggest common factor number is the GCF number.
So the greatest common factor 52305 and 52309 is 1.

Also check out the Least Common Multiple of 52305 and 52309