What is the Greatest Common Factor of 4320 and 4328?

Greatest common factor (GCF) of 4320 and 4328 is 8.

GCF(4320,4328) = 8

We will now calculate the prime factors of 4320 and 4328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4320 and 4328.

How to find the GCF of 4320 and 4328?

We will first find the prime factorization of 4320 and 4328. After we will calculate the factors of 4320 and 4328 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4328

Prime factors of 4328 are 2, 541. Prime factorization of 4328 in exponential form is:

4328 = 2³ × 541¹

Step-3: Factors of 4320

List of positive integer factors of 4320 that divides 4320 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

Step-4: Factors of 4328

List of positive integer factors of 4328 that divides 4320 without a remainder.

1, 2, 4, 8, 541, 1082, 2164

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4320 and 4328. The biggest common factor number is the GCF number.
So the greatest common factor 4320 and 4328 is 8.

Also check out the Least Common Multiple of 4320 and 4328