Greatest Common Factor of 4313 and 4320

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 4313, 4320 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4313 and 4320 is 1.

GCF(4313,4320) = 1

GCF of 4313 and 4320

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

GCF of:
and

Greatest Common Factor of 4313 and 4320

GCF of 4313 and 4320 is 1

Prime Factorization of 4313


19 4313
227 227
1

Prime factors of 4313 are 19,227. Prime factorization of 4313 in exponential form is:

4313 = 191×2271

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

∴ So by taking common prime factors GCF of 4313 and 4320 is 1

Greatest Common Factor of 4313 and 4320 by matching factors method

Factors of 4313

List of positive integer factors of 4313 that divides 4313 without a remainder.

1,19,227,4313

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

Greatest Common Factor

We found the factors and prime factorization of 4313 and 4320. The biggest common factor number is the GCF number.
So the greatest common factor 4313 and 4320 is 1.

Also check out the Least Common Multiple of 4313 and 4320

Properties of GCF 4313 and 4320

(i) The GCF of 4313 and 4320 is associative

GCF of 4313 and 4320 = GCF of 4320 and 4313

Related Greatest Common Factor of 4313

Related Greatest Common Factor of 4320

Frequently Asked Questions on GCF of 4313 and 4320

1. What is the GCF of 4313 and 4320?

Answer: GCF of 4313 and 4320 is 1.

2. What are the Factors of 4313?

Answer: Factors of 4313 are 1, 19, 227, 4313. There are 4 integers that are factors of 4313. The greatest factor of 4313 is 4313.

3. 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.

4. How to Find the GCF of 4313 and 4320?

Answer:

Greatest Common Factor of 4313 and 4320 = 1

Step 1: Find the prime factorization of 4313

4313 = 19 x 227

Step 2: 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 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 4313 and 4320 is 1