What is the Greatest Common Factor of 4320 and 4330?

Greatest common factor (GCF) of 4320 and 4330 is 10.

GCF(4320,4330) = 10

We will now calculate the prime factors of 4320 and 4330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4320 and 4330.

How to find the GCF of 4320 and 4330?

We will first find the prime factorization of 4320 and 4330. After we will calculate the factors of 4320 and 4330 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 4330

Prime factors of 4330 are 2, 5, 433. Prime factorization of 4330 in exponential form is:

4330 = 2¹ × 5¹ × 433¹

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 4330

List of positive integer factors of 4330 that divides 4320 without a remainder.

1, 2, 5, 10, 433, 866, 2165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4320 and 4330. The biggest common factor number is the GCF number.
So the greatest common factor 4320 and 4330 is 10.

Also check out the Least Common Multiple of 4320 and 4330