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 7329, 7337 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7329 and 7337 is 1.
GCF(7329,7337) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7329
3 | 7329 |
7 | 2443 |
349 | 349 |
1 |
Prime factors of 7329 are 3,7,349. Prime factorization of 7329 in exponential form is:
7329 = 31×71×3491
Prime Factorization of 7337
11 | 7337 |
23 | 667 |
29 | 29 |
1 |
Prime factors of 7337 are 11,23,29. Prime factorization of 7337 in exponential form is:
7337 = 111×231×291
∴ So by taking common prime factors GCF of 7329 and 7337 is 1
Factors of 7329
List of positive integer factors of 7329 that divides 7329 without a remainder.
1,3,7,21,349,1047,2443,7329
Factors of 7337
List of positive integer factors of 7337 that divides 7337 without a remainder.
1,11,23,29,253,319,667,7337
Greatest Common Factor
We found the factors and prime factorization of 7329 and 7337. The biggest common factor number is the GCF number.
So the greatest common factor 7329 and 7337 is 1.
Also check out the Least Common Multiple of 7329 and 7337
(i) The GCF of 7329 and 7337 is associative
GCF of 7329 and 7337 = GCF of 7337 and 7329
1. What is the GCF of 7329 and 7337?
Answer: GCF of 7329 and 7337 is 1.
2. What are the Factors of 7329?
Answer: Factors of 7329 are 1, 3, 7, 21, 349, 1047, 2443, 7329. There are 8 integers that are factors of 7329. The greatest factor of 7329 is 7329.
3. What are the Factors of 7337?
Answer: Factors of 7337 are 1, 11, 23, 29, 253, 319, 667, 7337. There are 8 integers that are factors of 7337. The greatest factor of 7337 is 7337.
4. How to Find the GCF of 7329 and 7337?
Answer:
Greatest Common Factor of 7329 and 7337 = 1
Step 1: Find the prime factorization of 7329
7329 = 3 x 7 x 349
Step 2: Find the prime factorization of 7337
7337 = 11 x 23 x 29
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 7329 and 7337 is 1