What is the Greatest Common Factor of 4320 and 4340?

Greatest common factor (GCF) of 4320 and 4340 is 20.

GCF(4320,4340) = 20

We will now calculate the prime factors of 4320 and 4340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4320 and 4340.

How to find the GCF of 4320 and 4340?

We will first find the prime factorization of 4320 and 4340. After we will calculate the factors of 4320 and 4340 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 4340

Prime factors of 4340 are 2, 5, 7, 31. Prime factorization of 4340 in exponential form is:

4340 = 2² × 5¹ × 7¹ × 31¹

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 4340

List of positive integer factors of 4340 that divides 4320 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 31, 35, 62, 70, 124, 140, 155, 217, 310, 434, 620, 868, 1085, 2170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4320 and 4340. The biggest common factor number is the GCF number.
So the greatest common factor 4320 and 4340 is 20.

Also check out the Least Common Multiple of 4320 and 4340