Greatest Common Factor of 8340 and 8345

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 8340, 8345 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8340 and 8345 is 5.

GCF(8340,8345) = 5

GCF of 8340 and 8345

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

GCF of:
and

Greatest Common Factor of 8340 and 8345

GCF of 8340 and 8345 is 5

Prime Factorization of 8340


2 8340
2 4170
3 2085
5 695
139 139
1

Prime factors of 8340 are 2,3,5,139. Prime factorization of 8340 in exponential form is:

8340 = 22×31×51×1391

Prime Factorization of 8345


5 8345
1669 1669
1

Prime factors of 8345 are 5,1669. Prime factorization of 8345 in exponential form is:

8345 = 51×16691

∴ So by taking common prime factors GCF of 8340 and 8345 is 5

Greatest Common Factor of 8340 and 8345 by matching factors method

Factors of 8340

List of positive integer factors of 8340 that divides 8340 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,139,278,417,556,695,834,1390,1668,2085,2780,4170,8340

Factors of 8345

List of positive integer factors of 8345 that divides 8345 without a remainder.

1,5,1669,8345

Greatest Common Factor

We found the factors and prime factorization of 8340 and 8345. The biggest common factor number is the GCF number.
So the greatest common factor 8340 and 8345 is 5.

Also check out the Least Common Multiple of 8340 and 8345

Properties of GCF 8340 and 8345

(i) The GCF of 8340 and 8345 is associative

GCF of 8340 and 8345 = GCF of 8345 and 8340

Related Greatest Common Factor of 8340

Related Greatest Common Factor of 8345

Frequently Asked Questions on GCF of 8340 and 8345

1. What is the GCF of 8340 and 8345?

Answer: GCF of 8340 and 8345 is 5.

2. What are the Factors of 8340?

Answer: Factors of 8340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 4170, 8340. There are 24 integers that are factors of 8340. The greatest factor of 8340 is 8340.

3. What are the Factors of 8345?

Answer: Factors of 8345 are 1, 5, 1669, 8345. There are 4 integers that are factors of 8345. The greatest factor of 8345 is 8345.

4. How to Find the GCF of 8340 and 8345?

Answer:

Greatest Common Factor of 8340 and 8345 = 5

Step 1: Find the prime factorization of 8340

8340 = 2 x 2 x 3 x 5 x 139

Step 2: Find the prime factorization of 8345

8345 = 5 x 1669

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 8340 and 8345 is 5