Greatest Common Factor of 8305 and 8310

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 8305, 8310 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8305 and 8310 is 5.

GCF(8305,8310) = 5

GCF of 8305 and 8310

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

GCF of:
and

Greatest Common Factor of 8305 and 8310

GCF of 8305 and 8310 is 5

Prime Factorization of 8305


5 8305
11 1661
151 151
1

Prime factors of 8305 are 5,11,151. Prime factorization of 8305 in exponential form is:

8305 = 51×111×1511

Prime Factorization of 8310


2 8310
3 4155
5 1385
277 277
1

Prime factors of 8310 are 2,3,5,277. Prime factorization of 8310 in exponential form is:

8310 = 21×31×51×2771

∴ So by taking common prime factors GCF of 8305 and 8310 is 5

Greatest Common Factor of 8305 and 8310 by matching factors method

Factors of 8305

List of positive integer factors of 8305 that divides 8305 without a remainder.

1,5,11,55,151,755,1661,8305

Factors of 8310

List of positive integer factors of 8310 that divides 8310 without a remainder.

1,2,3,5,6,10,15,30,277,554,831,1385,1662,2770,4155,8310

Greatest Common Factor

We found the factors and prime factorization of 8305 and 8310. The biggest common factor number is the GCF number.
So the greatest common factor 8305 and 8310 is 5.

Also check out the Least Common Multiple of 8305 and 8310

Properties of GCF 8305 and 8310

(i) The GCF of 8305 and 8310 is associative

GCF of 8305 and 8310 = GCF of 8310 and 8305

Related Greatest Common Factor of 8305

Related Greatest Common Factor of 8310

Frequently Asked Questions on GCF of 8305 and 8310

1. What is the GCF of 8305 and 8310?

Answer: GCF of 8305 and 8310 is 5.

2. What are the Factors of 8305?

Answer: Factors of 8305 are 1, 5, 11, 55, 151, 755, 1661, 8305. There are 8 integers that are factors of 8305. The greatest factor of 8305 is 8305.

3. What are the Factors of 8310?

Answer: Factors of 8310 are 1, 2, 3, 5, 6, 10, 15, 30, 277, 554, 831, 1385, 1662, 2770, 4155, 8310. There are 16 integers that are factors of 8310. The greatest factor of 8310 is 8310.

4. How to Find the GCF of 8305 and 8310?

Answer:

Greatest Common Factor of 8305 and 8310 = 5

Step 1: Find the prime factorization of 8305

8305 = 5 x 11 x 151

Step 2: Find the prime factorization of 8310

8310 = 2 x 3 x 5 x 277

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 8305 and 8310 is 5