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 7316, 7317 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7316 and 7317 is 1.
GCF(7316,7317) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7316
2 | 7316 |
2 | 3658 |
31 | 1829 |
59 | 59 |
1 |
Prime factors of 7316 are 2,31,59. Prime factorization of 7316 in exponential form is:
7316 = 22×311×591
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 7316 and 7317 is 1
Factors of 7316
List of positive integer factors of 7316 that divides 7316 without a remainder.
1,2,4,31,59,62,118,124,236,1829,3658,7316
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 7316 and 7317. The biggest common factor number is the GCF number.
So the greatest common factor 7316 and 7317 is 1.
Also check out the Least Common Multiple of 7316 and 7317
(i) The GCF of 7316 and 7317 is associative
GCF of 7316 and 7317 = GCF of 7317 and 7316
1. What is the GCF of 7316 and 7317?
Answer: GCF of 7316 and 7317 is 1.
2. What are the Factors of 7316?
Answer: Factors of 7316 are 1, 2, 4, 31, 59, 62, 118, 124, 236, 1829, 3658, 7316. There are 12 integers that are factors of 7316. The greatest factor of 7316 is 7316.
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 7316 and 7317?
Answer:
Greatest Common Factor of 7316 and 7317 = 1
Step 1: Find the prime factorization of 7316
7316 = 2 x 2 x 31 x 59
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 = = 1
Step 4: Therefore, the greatest common factor of 7316 and 7317 is 1