Greatest Common Factor of 4305 and 4309

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 4305, 4309 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4305 and 4309 is 1.

GCF(4305,4309) = 1

GCF of 4305 and 4309

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

GCF of:
and

Greatest Common Factor of 4305 and 4309

GCF of 4305 and 4309 is 1

Prime Factorization of 4305


3 4305
5 1435
7 287
41 41
1

Prime factors of 4305 are 3,5,7,41. Prime factorization of 4305 in exponential form is:

4305 = 31×51×71×411

Prime Factorization of 4309


31 4309
139 139
1

Prime factors of 4309 are 31,139. Prime factorization of 4309 in exponential form is:

4309 = 311×1391

∴ So by taking common prime factors GCF of 4305 and 4309 is 1

Greatest Common Factor of 4305 and 4309 by matching factors method

Factors of 4305

List of positive integer factors of 4305 that divides 4305 without a remainder.

1,3,5,7,15,21,35,41,105,123,205,287,615,861,1435,4305

Factors of 4309

List of positive integer factors of 4309 that divides 4309 without a remainder.

1,31,139,4309

Greatest Common Factor

We found the factors and prime factorization of 4305 and 4309. The biggest common factor number is the GCF number.
So the greatest common factor 4305 and 4309 is 1.

Also check out the Least Common Multiple of 4305 and 4309

Properties of GCF 4305 and 4309

(i) The GCF of 4305 and 4309 is associative

GCF of 4305 and 4309 = GCF of 4309 and 4305

Related Greatest Common Factor of 4305

Related Greatest Common Factor of 4309

Frequently Asked Questions on GCF of 4305 and 4309

1. What is the GCF of 4305 and 4309?

Answer: GCF of 4305 and 4309 is 1.

2. What are the Factors of 4305?

Answer: Factors of 4305 are 1, 3, 5, 7, 15, 21, 35, 41, 105, 123, 205, 287, 615, 861, 1435, 4305. There are 16 integers that are factors of 4305. The greatest factor of 4305 is 4305.

3. What are the Factors of 4309?

Answer: Factors of 4309 are 1, 31, 139, 4309. There are 4 integers that are factors of 4309. The greatest factor of 4309 is 4309.

4. How to Find the GCF of 4305 and 4309?

Answer:

Greatest Common Factor of 4305 and 4309 = 1

Step 1: Find the prime factorization of 4305

4305 = 3 x 5 x 7 x 41

Step 2: Find the prime factorization of 4309

4309 = 31 x 139

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 4305 and 4309 is 1