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 7318, 7326 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7318 and 7326 is 2.
GCF(7318,7326) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7318
2 | 7318 |
3659 | 3659 |
1 |
Prime factors of 7318 are 2,3659. Prime factorization of 7318 in exponential form is:
7318 = 21×36591
Prime Factorization of 7326
2 | 7326 |
3 | 3663 |
3 | 1221 |
11 | 407 |
37 | 37 |
1 |
Prime factors of 7326 are 2,3,11,37. Prime factorization of 7326 in exponential form is:
7326 = 21×32×111×371
∴ So by taking common prime factors GCF of 7318 and 7326 is 2
Factors of 7318
List of positive integer factors of 7318 that divides 7318 without a remainder.
1,2,3659,7318
Factors of 7326
List of positive integer factors of 7326 that divides 7326 without a remainder.
1,2,3,6,9,11,18,22,33,37,66,74,99,111,198,222,333,407,666,814,1221,2442,3663,7326
Greatest Common Factor
We found the factors and prime factorization of 7318 and 7326. The biggest common factor number is the GCF number.
So the greatest common factor 7318 and 7326 is 2.
Also check out the Least Common Multiple of 7318 and 7326
(i) The GCF of 7318 and 7326 is associative
GCF of 7318 and 7326 = GCF of 7326 and 7318
1. What is the GCF of 7318 and 7326?
Answer: GCF of 7318 and 7326 is 2.
2. What are the Factors of 7318?
Answer: Factors of 7318 are 1, 2, 3659, 7318. There are 4 integers that are factors of 7318. The greatest factor of 7318 is 7318.
3. What are the Factors of 7326?
Answer: Factors of 7326 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 37, 66, 74, 99, 111, 198, 222, 333, 407, 666, 814, 1221, 2442, 3663, 7326. There are 24 integers that are factors of 7326. The greatest factor of 7326 is 7326.
4. How to Find the GCF of 7318 and 7326?
Answer:
Greatest Common Factor of 7318 and 7326 = 2
Step 1: Find the prime factorization of 7318
7318 = 2 x 3659
Step 2: Find the prime factorization of 7326
7326 = 2 x 3 x 3 x 11 x 37
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 7318 and 7326 is 2