Greatest Common Factor of 4320 and 4324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 4320, 4324 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4320 and 4324 is 4.

GCF(4320,4324) = 4

GCF of 4320 and 4324

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4320 and 4324

GCF of 4320 and 4324 is 4

Prime Factorization of 4320


2 4320
2 2160
2 1080
2 540
2 270
3 135
3 45
3 15
5 5
1

Prime factors of 4320 are 2,3,5. Prime factorization of 4320 in exponential form is:

4320 = 25×33×51

Prime Factorization of 4324


2 4324
2 2162
23 1081
47 47
1

Prime factors of 4324 are 2,23,47. Prime factorization of 4324 in exponential form is:

4324 = 22×231×471

∴ So by taking common prime factors GCF of 4320 and 4324 is 4

Greatest Common Factor of 4320 and 4324 by matching factors method

Factors of 4320

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

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,72,80,90,96,108,120,135,144,160,180,216,240,270,288,360,432,480,540,720,864,1080,1440,2160,4320

Factors of 4324

List of positive integer factors of 4324 that divides 4324 without a remainder.

1,2,4,23,46,47,92,94,188,1081,2162,4324

Greatest Common Factor

We found the factors and prime factorization of 4320 and 4324. The biggest common factor number is the GCF number.
So the greatest common factor 4320 and 4324 is 4.

Also check out the Least Common Multiple of 4320 and 4324

Properties of GCF 4320 and 4324

(i) The GCF of 4320 and 4324 is associative

GCF of 4320 and 4324 = GCF of 4324 and 4320

Related Greatest Common Factor of 4320

Related Greatest Common Factor of 4324

Frequently Asked Questions on GCF of 4320 and 4324

1. What is the GCF of 4320 and 4324?

Answer: GCF of 4320 and 4324 is 4.

2. What are the Factors of 4320?

Answer: Factors of 4320 are 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, 4320. There are 48 integers that are factors of 4320. The greatest factor of 4320 is 4320.

3. What are the Factors of 4324?

Answer: Factors of 4324 are 1, 2, 4, 23, 46, 47, 92, 94, 188, 1081, 2162, 4324. There are 12 integers that are factors of 4324. The greatest factor of 4324 is 4324.

4. How to Find the GCF of 4320 and 4324?

Answer:

Greatest Common Factor of 4320 and 4324 = 4

Step 1: Find the prime factorization of 4320

4320 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 4324

4324 = 2 x 2 x 23 x 47

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4320 and 4324 is 4