What is the Greatest Common Factor of 52305 and 52313?

Greatest common factor (GCF) of 52305 and 52313 is 1.

GCF(52305,52313) = 1

We will now calculate the prime factors of 52305 and 52313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52305 and 52313.

How to find the GCF of 52305 and 52313?

We will first find the prime factorization of 52305 and 52313. After we will calculate the factors of 52305 and 52313 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 52313

Prime factors of 52313 are 52313. Prime factorization of 52313 in exponential form is:

52313 = 52313¹

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 52313

List of positive integer factors of 52313 that divides 52305 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52305 and 52313. The biggest common factor number is the GCF number.
So the greatest common factor 52305 and 52313 is 1.

Also check out the Least Common Multiple of 52305 and 52313