What is the Greatest Common Factor of 4305 and 4320?

Greatest common factor (GCF) of 4305 and 4320 is 15.

GCF(4305,4320) = 15

We will now calculate the prime factors of 4305 and 4320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4305 and 4320.

How to find the GCF of 4305 and 4320?

We will first find the prime factorization of 4305 and 4320. After we will calculate the factors of 4305 and 4320 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 4320

Prime factors of 4320 are 2, 3, 5. Prime factorization of 4320 in exponential form is:

4320 = 2⁵ × 3³ × 5¹

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 4320

List of positive integer factors of 4320 that divides 4305 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4305 and 4320. The biggest common factor number is the GCF number.
So the greatest common factor 4305 and 4320 is 15.

Also check out the Least Common Multiple of 4305 and 4320