What is the Greatest Common Factor of 4305 and 4317?

Greatest common factor (GCF) of 4305 and 4317 is 3.

GCF(4305,4317) = 3

We will now calculate the prime factors of 4305 and 4317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4305 and 4317.

How to find the GCF of 4305 and 4317?

We will first find the prime factorization of 4305 and 4317. After we will calculate the factors of 4305 and 4317 and find the biggest common factor number .

Step-1: Prime Factorization of 4305

Prime factors of 4305 are 3, 5, 7, 41. Prime factorization of 4305 in exponential form is:

4305 = 3¹ × 5¹ × 7¹ × 41¹

Step-2: Prime Factorization of 4317

Prime factors of 4317 are 3, 1439. Prime factorization of 4317 in exponential form is:

4317 = 3¹ × 1439¹

Step-3: Factors of 4305

List of positive integer factors of 4305 that divides 4305 without a remainder.

1, 3, 5, 7, 15, 21, 35, 41, 105, 123, 205, 287, 615, 861, 1435

Step-4: Factors of 4317

List of positive integer factors of 4317 that divides 4305 without a remainder.

1, 3, 1439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4305 and 4317. The biggest common factor number is the GCF number.
So the greatest common factor 4305 and 4317 is 3.

Also check out the Least Common Multiple of 4305 and 4317