What is the Greatest Common Factor of 4320 and 4337?

Greatest common factor (GCF) of 4320 and 4337 is 1.

GCF(4320,4337) = 1

We will now calculate the prime factors of 4320 and 4337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4320 and 4337.

How to find the GCF of 4320 and 4337?

We will first find the prime factorization of 4320 and 4337. After we will calculate the factors of 4320 and 4337 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 4337

Prime factors of 4337 are 4337. Prime factorization of 4337 in exponential form is:

4337 = 4337¹

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 4337

List of positive integer factors of 4337 that divides 4320 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4320 and 4337. The biggest common factor number is the GCF number.
So the greatest common factor 4320 and 4337 is 1.

Also check out the Least Common Multiple of 4320 and 4337