What is the Greatest Common Factor of 4320 and 4336?

Greatest common factor (GCF) of 4320 and 4336 is 16.

GCF(4320,4336) = 16

We will now calculate the prime factors of 4320 and 4336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4320 and 4336.

How to find the GCF of 4320 and 4336?

We will first find the prime factorization of 4320 and 4336. After we will calculate the factors of 4320 and 4336 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 4336

Prime factors of 4336 are 2, 271. Prime factorization of 4336 in exponential form is:

4336 = 2⁴ × 271¹

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 4336

List of positive integer factors of 4336 that divides 4320 without a remainder.

1, 2, 4, 8, 16, 271, 542, 1084, 2168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4320 and 4336. The biggest common factor number is the GCF number.
So the greatest common factor 4320 and 4336 is 16.

Also check out the Least Common Multiple of 4320 and 4336