What is the Greatest Common Factor of 4320 and 4332?

Greatest common factor (GCF) of 4320 and 4332 is 12.

GCF(4320,4332) = 12

We will now calculate the prime factors of 4320 and 4332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4320 and 4332.

How to find the GCF of 4320 and 4332?

We will first find the prime factorization of 4320 and 4332. After we will calculate the factors of 4320 and 4332 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 4332

Prime factors of 4332 are 2, 3, 19. Prime factorization of 4332 in exponential form is:

4332 = 2² × 3¹ × 19²

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 4332

List of positive integer factors of 4332 that divides 4320 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 361, 722, 1083, 1444, 2166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4320 and 4332. The biggest common factor number is the GCF number.
So the greatest common factor 4320 and 4332 is 12.

Also check out the Least Common Multiple of 4320 and 4332