Greatest Common Factor of 8305 and 8309

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, 8309 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8305 and 8309 is 1.

GCF(8305,8309) = 1

GCF of 8305 and 8309

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

GCF of:
and

Greatest Common Factor of 8305 and 8309

GCF of 8305 and 8309 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 8309


7 8309
1187 1187
1

Prime factors of 8309 are 7,1187. Prime factorization of 8309 in exponential form is:

8309 = 71×11871

∴ So by taking common prime factors GCF of 8305 and 8309 is 1

Greatest Common Factor of 8305 and 8309 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 8309

List of positive integer factors of 8309 that divides 8309 without a remainder.

1,7,1187,8309

Greatest Common Factor

We found the factors and prime factorization of 8305 and 8309. The biggest common factor number is the GCF number.
So the greatest common factor 8305 and 8309 is 1.

Also check out the Least Common Multiple of 8305 and 8309

Properties of GCF 8305 and 8309

(i) The GCF of 8305 and 8309 is associative

GCF of 8305 and 8309 = GCF of 8309 and 8305

Related Greatest Common Factor of 8305

Related Greatest Common Factor of 8309

Frequently Asked Questions on GCF of 8305 and 8309

1. What is the GCF of 8305 and 8309?

Answer: GCF of 8305 and 8309 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 8309?

Answer: Factors of 8309 are 1, 7, 1187, 8309. There are 4 integers that are factors of 8309. The greatest factor of 8309 is 8309.

4. How to Find the GCF of 8305 and 8309?

Answer:

Greatest Common Factor of 8305 and 8309 = 1

Step 1: Find the prime factorization of 8305

8305 = 5 x 11 x 151

Step 2: Find the prime factorization of 8309

8309 = 7 x 1187

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 8309 is 1