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 7314, 7317 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7314 and 7317 is 3.
GCF(7314,7317) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7314
2 | 7314 |
3 | 3657 |
23 | 1219 |
53 | 53 |
1 |
Prime factors of 7314 are 2,3,23,53. Prime factorization of 7314 in exponential form is:
7314 = 21×31×231×531
Prime Factorization of 7317
3 | 7317 |
3 | 2439 |
3 | 813 |
271 | 271 |
1 |
Prime factors of 7317 are 3,271. Prime factorization of 7317 in exponential form is:
7317 = 33×2711
∴ So by taking common prime factors GCF of 7314 and 7317 is 3
Factors of 7314
List of positive integer factors of 7314 that divides 7314 without a remainder.
1,2,3,6,23,46,53,69,106,138,159,318,1219,2438,3657,7314
Factors of 7317
List of positive integer factors of 7317 that divides 7317 without a remainder.
1,3,9,27,271,813,2439,7317
Greatest Common Factor
We found the factors and prime factorization of 7314 and 7317. The biggest common factor number is the GCF number.
So the greatest common factor 7314 and 7317 is 3.
Also check out the Least Common Multiple of 7314 and 7317
(i) The GCF of 7314 and 7317 is associative
GCF of 7314 and 7317 = GCF of 7317 and 7314
1. What is the GCF of 7314 and 7317?
Answer: GCF of 7314 and 7317 is 3.
2. What are the Factors of 7314?
Answer: Factors of 7314 are 1, 2, 3, 6, 23, 46, 53, 69, 106, 138, 159, 318, 1219, 2438, 3657, 7314. There are 16 integers that are factors of 7314. The greatest factor of 7314 is 7314.
3. What are the Factors of 7317?
Answer: Factors of 7317 are 1, 3, 9, 27, 271, 813, 2439, 7317. There are 8 integers that are factors of 7317. The greatest factor of 7317 is 7317.
4. How to Find the GCF of 7314 and 7317?
Answer:
Greatest Common Factor of 7314 and 7317 = 3
Step 1: Find the prime factorization of 7314
7314 = 2 x 3 x 23 x 53
Step 2: Find the prime factorization of 7317
7317 = 3 x 3 x 3 x 271
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 7314 and 7317 is 3