What is the Greatest Common Factor of 52305 and 52317?

Greatest common factor (GCF) of 52305 and 52317 is 3.

GCF(52305,52317) = 3

We will now calculate the prime factors of 52305 and 52317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52305 and 52317.

How to find the GCF of 52305 and 52317?

We will first find the prime factorization of 52305 and 52317. After we will calculate the factors of 52305 and 52317 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 52317

Prime factors of 52317 are 3, 5813. Prime factorization of 52317 in exponential form is:

52317 = 3² × 5813¹

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 52317

List of positive integer factors of 52317 that divides 52305 without a remainder.

1, 3, 9, 5813, 17439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52305 and 52317. The biggest common factor number is the GCF number.
So the greatest common factor 52305 and 52317 is 3.

Also check out the Least Common Multiple of 52305 and 52317