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 8336, 8340 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8336 and 8340 is 4.
GCF(8336,8340) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8336
2 | 8336 |
2 | 4168 |
2 | 2084 |
2 | 1042 |
521 | 521 |
1 |
Prime factors of 8336 are 2,521. Prime factorization of 8336 in exponential form is:
8336 = 24×5211
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
∴ So by taking common prime factors GCF of 8336 and 8340 is 4
Factors of 8336
List of positive integer factors of 8336 that divides 8336 without a remainder.
1,2,4,8,16,521,1042,2084,4168,8336
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
Greatest Common Factor
We found the factors and prime factorization of 8336 and 8340. The biggest common factor number is the GCF number.
So the greatest common factor 8336 and 8340 is 4.
Also check out the Least Common Multiple of 8336 and 8340
(i) The GCF of 8336 and 8340 is associative
GCF of 8336 and 8340 = GCF of 8340 and 8336
1. What is the GCF of 8336 and 8340?
Answer: GCF of 8336 and 8340 is 4.
2. What are the Factors of 8336?
Answer: Factors of 8336 are 1, 2, 4, 8, 16, 521, 1042, 2084, 4168, 8336. There are 10 integers that are factors of 8336. The greatest factor of 8336 is 8336.
3. 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.
4. How to Find the GCF of 8336 and 8340?
Answer:
Greatest Common Factor of 8336 and 8340 = 4
Step 1: Find the prime factorization of 8336
8336 = 2 x 2 x 2 x 2 x 521
Step 2: Find the prime factorization of 8340
8340 = 2 x 2 x 3 x 5 x 139
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 8336 and 8340 is 4