Greatest Common Factor of 8305 and 8313

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, 8313 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8305 and 8313 is 1.

GCF(8305,8313) = 1

GCF of 8305 and 8313

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

GCF of:
and

Greatest Common Factor of 8305 and 8313

GCF of 8305 and 8313 is 1

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 8313


3 8313
17 2771
163 163
1

Prime factors of 8313 are 3,17,163. Prime factorization of 8313 in exponential form is:

8313 = 31×171×1631

∴ So by taking common prime factors GCF of 8305 and 8313 is 1

Greatest Common Factor of 8305 and 8313 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 8313

List of positive integer factors of 8313 that divides 8313 without a remainder.

1,3,17,51,163,489,2771,8313

Greatest Common Factor

We found the factors and prime factorization of 8305 and 8313. The biggest common factor number is the GCF number.
So the greatest common factor 8305 and 8313 is 1.

Also check out the Least Common Multiple of 8305 and 8313

Properties of GCF 8305 and 8313

(i) The GCF of 8305 and 8313 is associative

GCF of 8305 and 8313 = GCF of 8313 and 8305

Related Greatest Common Factor of 8305

Related Greatest Common Factor of 8313

Frequently Asked Questions on GCF of 8305 and 8313

1. What is the GCF of 8305 and 8313?

Answer: GCF of 8305 and 8313 is 1.

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 8313?

Answer: Factors of 8313 are 1, 3, 17, 51, 163, 489, 2771, 8313. There are 8 integers that are factors of 8313. The greatest factor of 8313 is 8313.

4. How to Find the GCF of 8305 and 8313?

Answer:

Greatest Common Factor of 8305 and 8313 = 1

Step 1: Find the prime factorization of 8305

8305 = 5 x 11 x 151

Step 2: Find the prime factorization of 8313

8313 = 3 x 17 x 163

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 8305 and 8313 is 1