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 7317, 7322 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7317 and 7322 is 1.
GCF(7317,7322) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 7322
2 | 7322 |
7 | 3661 |
523 | 523 |
1 |
Prime factors of 7322 are 2,7,523. Prime factorization of 7322 in exponential form is:
7322 = 21×71×5231
∴ So by taking common prime factors GCF of 7317 and 7322 is 1
Factors of 7317
List of positive integer factors of 7317 that divides 7317 without a remainder.
1,3,9,27,271,813,2439,7317
Factors of 7322
List of positive integer factors of 7322 that divides 7322 without a remainder.
1,2,7,14,523,1046,3661,7322
Greatest Common Factor
We found the factors and prime factorization of 7317 and 7322. The biggest common factor number is the GCF number.
So the greatest common factor 7317 and 7322 is 1.
Also check out the Least Common Multiple of 7317 and 7322
(i) The GCF of 7317 and 7322 is associative
GCF of 7317 and 7322 = GCF of 7322 and 7317
1. What is the GCF of 7317 and 7322?
Answer: GCF of 7317 and 7322 is 1.
2. 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.
3. What are the Factors of 7322?
Answer: Factors of 7322 are 1, 2, 7, 14, 523, 1046, 3661, 7322. There are 8 integers that are factors of 7322. The greatest factor of 7322 is 7322.
4. How to Find the GCF of 7317 and 7322?
Answer:
Greatest Common Factor of 7317 and 7322 = 1
Step 1: Find the prime factorization of 7317
7317 = 3 x 3 x 3 x 271
Step 2: Find the prime factorization of 7322
7322 = 2 x 7 x 523
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 7317 and 7322 is 1