Greatest Common Factor of 9305 and 9310

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 9305, 9310 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9305 and 9310 is 5.

GCF(9305,9310) = 5

GCF of 9305 and 9310

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

GCF of:
and

Greatest Common Factor of 9305 and 9310

GCF of 9305 and 9310 is 5

Prime Factorization of 9305


5 9305
1861 1861
1

Prime factors of 9305 are 5,1861. Prime factorization of 9305 in exponential form is:

9305 = 51×18611

Prime Factorization of 9310


2 9310
5 4655
7 931
7 133
19 19
1

Prime factors of 9310 are 2,5,7,19. Prime factorization of 9310 in exponential form is:

9310 = 21×51×72×191

∴ So by taking common prime factors GCF of 9305 and 9310 is 5

Greatest Common Factor of 9305 and 9310 by matching factors method

Factors of 9305

List of positive integer factors of 9305 that divides 9305 without a remainder.

1,5,1861,9305

Factors of 9310

List of positive integer factors of 9310 that divides 9310 without a remainder.

1,2,5,7,10,14,19,35,38,49,70,95,98,133,190,245,266,490,665,931,1330,1862,4655,9310

Greatest Common Factor

We found the factors and prime factorization of 9305 and 9310. The biggest common factor number is the GCF number.
So the greatest common factor 9305 and 9310 is 5.

Also check out the Least Common Multiple of 9305 and 9310

Properties of GCF 9305 and 9310

(i) The GCF of 9305 and 9310 is associative

GCF of 9305 and 9310 = GCF of 9310 and 9305

Related Greatest Common Factor of 9305

Related Greatest Common Factor of 9310

Frequently Asked Questions on GCF of 9305 and 9310

1. What is the GCF of 9305 and 9310?

Answer: GCF of 9305 and 9310 is 5.

2. What are the Factors of 9305?

Answer: Factors of 9305 are 1, 5, 1861, 9305. There are 4 integers that are factors of 9305. The greatest factor of 9305 is 9305.

3. What are the Factors of 9310?

Answer: Factors of 9310 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 49, 70, 95, 98, 133, 190, 245, 266, 490, 665, 931, 1330, 1862, 4655, 9310. There are 24 integers that are factors of 9310. The greatest factor of 9310 is 9310.

4. How to Find the GCF of 9305 and 9310?

Answer:

Greatest Common Factor of 9305 and 9310 = 5

Step 1: Find the prime factorization of 9305

9305 = 5 x 1861

Step 2: Find the prime factorization of 9310

9310 = 2 x 5 x 7 x 7 x 19

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

GCF = 5

Step 4: Therefore, the greatest common factor of 9305 and 9310 is 5