Greatest Common Factor of 8340 and 8344

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, 8344 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8340 and 8344 is 4.

GCF(8340,8344) = 4

GCF of 8340 and 8344

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

GCF of:
and

Greatest Common Factor of 8340 and 8344

GCF of 8340 and 8344 is 4

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 8344


2 8344
2 4172
2 2086
7 1043
149 149
1

Prime factors of 8344 are 2,7,149. Prime factorization of 8344 in exponential form is:

8344 = 23×71×1491

∴ So by taking common prime factors GCF of 8340 and 8344 is 4

Greatest Common Factor of 8340 and 8344 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 8344

List of positive integer factors of 8344 that divides 8344 without a remainder.

1,2,4,7,8,14,28,56,149,298,596,1043,1192,2086,4172,8344

Greatest Common Factor

We found the factors and prime factorization of 8340 and 8344. The biggest common factor number is the GCF number.
So the greatest common factor 8340 and 8344 is 4.

Also check out the Least Common Multiple of 8340 and 8344

Properties of GCF 8340 and 8344

(i) The GCF of 8340 and 8344 is associative

GCF of 8340 and 8344 = GCF of 8344 and 8340

Related Greatest Common Factor of 8340

Related Greatest Common Factor of 8344

Frequently Asked Questions on GCF of 8340 and 8344

1. What is the GCF of 8340 and 8344?

Answer: GCF of 8340 and 8344 is 4.

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 8344?

Answer: Factors of 8344 are 1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172, 8344. There are 16 integers that are factors of 8344. The greatest factor of 8344 is 8344.

4. How to Find the GCF of 8340 and 8344?

Answer:

Greatest Common Factor of 8340 and 8344 = 4

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 8344

8344 = 2 x 2 x 2 x 7 x 149

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8340 and 8344 is 4