What is the Greatest Common Factor of 43305 and 43317?

Greatest common factor (GCF) of 43305 and 43317 is 3.

GCF(43305,43317) = 3

We will now calculate the prime factors of 43305 and 43317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43305 and 43317.

How to find the GCF of 43305 and 43317?

We will first find the prime factorization of 43305 and 43317. After we will calculate the factors of 43305 and 43317 and find the biggest common factor number .

Step-1: Prime Factorization of 43305

Prime factors of 43305 are 3, 5, 2887. Prime factorization of 43305 in exponential form is:

43305 = 3¹ × 5¹ × 2887¹

Step-2: Prime Factorization of 43317

Prime factors of 43317 are 3, 4813. Prime factorization of 43317 in exponential form is:

43317 = 3² × 4813¹

Step-3: Factors of 43305

List of positive integer factors of 43305 that divides 43305 without a remainder.

1, 3, 5, 15, 2887, 8661, 14435

Step-4: Factors of 43317

List of positive integer factors of 43317 that divides 43305 without a remainder.

1, 3, 9, 4813, 14439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43305 and 43317. The biggest common factor number is the GCF number.
So the greatest common factor 43305 and 43317 is 3.

Also check out the Least Common Multiple of 43305 and 43317