What is the Greatest Common Factor of 4320 and 4339?

Greatest common factor (GCF) of 4320 and 4339 is 1.

GCF(4320,4339) = 1

We will now calculate the prime factors of 4320 and 4339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4320 and 4339.

How to find the GCF of 4320 and 4339?

We will first find the prime factorization of 4320 and 4339. After we will calculate the factors of 4320 and 4339 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 4339

Prime factors of 4339 are 4339. Prime factorization of 4339 in exponential form is:

4339 = 4339¹

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 4339

List of positive integer factors of 4339 that divides 4320 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4320 and 4339. The biggest common factor number is the GCF number.
So the greatest common factor 4320 and 4339 is 1.

Also check out the Least Common Multiple of 4320 and 4339