Greatest Common Factor of 8309 and 8316

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 8309, 8316 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8309 and 8316 is 7.

GCF(8309,8316) = 7

GCF of 8309 and 8316

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

GCF of:
and

Greatest Common Factor of 8309 and 8316

GCF of 8309 and 8316 is 7

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

Prime Factorization of 8316


2 8316
2 4158
3 2079
3 693
3 231
7 77
11 11
1

Prime factors of 8316 are 2,3,7,11. Prime factorization of 8316 in exponential form is:

8316 = 22×33×71×111

∴ So by taking common prime factors GCF of 8309 and 8316 is 7

Greatest Common Factor of 8309 and 8316 by matching factors method

Factors of 8309

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

1,7,1187,8309

Factors of 8316

List of positive integer factors of 8316 that divides 8316 without a remainder.

1,2,3,4,6,7,9,11,12,14,18,21,22,27,28,33,36,42,44,54,63,66,77,84,99,108,126,132,154,189,198,231,252,297,308,378,396,462,594,693,756,924,1188,1386,2079,2772,4158,8316

Greatest Common Factor

We found the factors and prime factorization of 8309 and 8316. The biggest common factor number is the GCF number.
So the greatest common factor 8309 and 8316 is 7.

Also check out the Least Common Multiple of 8309 and 8316

Properties of GCF 8309 and 8316

(i) The GCF of 8309 and 8316 is associative

GCF of 8309 and 8316 = GCF of 8316 and 8309

Related Greatest Common Factor of 8309

Related Greatest Common Factor of 8316

Frequently Asked Questions on GCF of 8309 and 8316

1. What is the GCF of 8309 and 8316?

Answer: GCF of 8309 and 8316 is 7.

2. 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.

3. What are the Factors of 8316?

Answer: Factors of 8316 are 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 27, 28, 33, 36, 42, 44, 54, 63, 66, 77, 84, 99, 108, 126, 132, 154, 189, 198, 231, 252, 297, 308, 378, 396, 462, 594, 693, 756, 924, 1188, 1386, 2079, 2772, 4158, 8316. There are 48 integers that are factors of 8316. The greatest factor of 8316 is 8316.

4. How to Find the GCF of 8309 and 8316?

Answer:

Greatest Common Factor of 8309 and 8316 = 7

Step 1: Find the prime factorization of 8309

8309 = 7 x 1187

Step 2: Find the prime factorization of 8316

8316 = 2 x 2 x 3 x 3 x 3 x 7 x 11

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

GCF = 7

Step 4: Therefore, the greatest common factor of 8309 and 8316 is 7