What is the Greatest Common Factor of 4320 and 4331?

Greatest common factor (GCF) of 4320 and 4331 is 1.

GCF(4320,4331) = 1

We will now calculate the prime factors of 4320 and 4331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4320 and 4331.

How to find the GCF of 4320 and 4331?

We will first find the prime factorization of 4320 and 4331. After we will calculate the factors of 4320 and 4331 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 4331

Prime factors of 4331 are 61, 71. Prime factorization of 4331 in exponential form is:

4331 = 61¹ × 71¹

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 4331

List of positive integer factors of 4331 that divides 4320 without a remainder.

1, 61, 71

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4320 and 4331. The biggest common factor number is the GCF number.
So the greatest common factor 4320 and 4331 is 1.

Also check out the Least Common Multiple of 4320 and 4331