What is the Greatest Common Factor of 52305 and 52316?

Greatest common factor (GCF) of 52305 and 52316 is 11.

GCF(52305,52316) = 11

We will now calculate the prime factors of 52305 and 52316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52305 and 52316.

How to find the GCF of 52305 and 52316?

We will first find the prime factorization of 52305 and 52316. After we will calculate the factors of 52305 and 52316 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 52316

Prime factors of 52316 are 2, 11, 29, 41. Prime factorization of 52316 in exponential form is:

52316 = 2² × 11¹ × 29¹ × 41¹

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 52316

List of positive integer factors of 52316 that divides 52305 without a remainder.

1, 2, 4, 11, 22, 29, 41, 44, 58, 82, 116, 164, 319, 451, 638, 902, 1189, 1276, 1804, 2378, 4756, 13079, 26158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52305 and 52316. The biggest common factor number is the GCF number.
So the greatest common factor 52305 and 52316 is 11.

Also check out the Least Common Multiple of 52305 and 52316