What is the Greatest Common Factor of 4320 and 4324?

Greatest common factor (GCF) of 4320 and 4324 is 4.

GCF(4320,4324) = 4

We will now calculate the prime factors of 4320 and 4324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4320 and 4324.

How to find the GCF of 4320 and 4324?

We will first find the prime factorization of 4320 and 4324. After we will calculate the factors of 4320 and 4324 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 4324

Prime factors of 4324 are 2, 23, 47. Prime factorization of 4324 in exponential form is:

4324 = 2² × 23¹ × 47¹

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 4324

List of positive integer factors of 4324 that divides 4320 without a remainder.

1, 2, 4, 23, 46, 47, 92, 94, 188, 1081, 2162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4320 and 4324. The biggest common factor number is the GCF number.
So the greatest common factor 4320 and 4324 is 4.

Also check out the Least Common Multiple of 4320 and 4324