What is the Greatest Common Factor of 4302 and 4320?

Greatest common factor (GCF) of 4302 and 4320 is 18.

GCF(4302,4320) = 18

We will now calculate the prime factors of 4302 and 4320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4302 and 4320.

How to find the GCF of 4302 and 4320?

We will first find the prime factorization of 4302 and 4320. After we will calculate the factors of 4302 and 4320 and find the biggest common factor number .

Step-1: Prime Factorization of 4302

Prime factors of 4302 are 2, 3, 239. Prime factorization of 4302 in exponential form is:

4302 = 2¹ × 3² × 239¹

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 4302

List of positive integer factors of 4302 that divides 4302 without a remainder.

1, 2, 3, 6, 9, 18, 239, 478, 717, 1434, 2151

Step-4: Factors of 4320

List of positive integer factors of 4320 that divides 4302 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 4302 and 4320. The biggest common factor number is the GCF number.
So the greatest common factor 4302 and 4320 is 18.

Also check out the Least Common Multiple of 4302 and 4320