What is the Greatest Common Factor of 4314 and 4320?

Greatest common factor (GCF) of 4314 and 4320 is 6.

GCF(4314,4320) = 6

We will now calculate the prime factors of 4314 and 4320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4314 and 4320.

How to find the GCF of 4314 and 4320?

We will first find the prime factorization of 4314 and 4320. After we will calculate the factors of 4314 and 4320 and find the biggest common factor number .

Step-1: Prime Factorization of 4314

Prime factors of 4314 are 2, 3, 719. Prime factorization of 4314 in exponential form is:

4314 = 2¹ × 3¹ × 719¹

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 4314

List of positive integer factors of 4314 that divides 4314 without a remainder.

1, 2, 3, 6, 719, 1438, 2157

Step-4: Factors of 4320

List of positive integer factors of 4320 that divides 4314 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 4314 and 4320. The biggest common factor number is the GCF number.
So the greatest common factor 4314 and 4320 is 6.

Also check out the Least Common Multiple of 4314 and 4320