What is the Greatest Common Factor of 52309 and 52316?

Greatest common factor (GCF) of 52309 and 52316 is 1.

GCF(52309,52316) = 1

We will now calculate the prime factors of 52309 and 52316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52309 and 52316.

How to find the GCF of 52309 and 52316?

We will first find the prime factorization of 52309 and 52316. After we will calculate the factors of 52309 and 52316 and find the biggest common factor number .

Step-1: Prime Factorization of 52309

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

52309 = 17² × 181¹

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 52309

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

1, 17, 181, 289, 3077

Step-4: Factors of 52316

List of positive integer factors of 52316 that divides 52309 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 52309 and 52316. The biggest common factor number is the GCF number.
So the greatest common factor 52309 and 52316 is 1.

Also check out the Least Common Multiple of 52309 and 52316