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 7325, 7329 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7325 and 7329 is 1.
GCF(7325,7329) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7325
5 | 7325 |
5 | 1465 |
293 | 293 |
1 |
Prime factors of 7325 are 5,293. Prime factorization of 7325 in exponential form is:
7325 = 52×2931
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
∴ So by taking common prime factors GCF of 7325 and 7329 is 1
Factors of 7325
List of positive integer factors of 7325 that divides 7325 without a remainder.
1,5,25,293,1465,7325
Factors of 7329
List of positive integer factors of 7329 that divides 7329 without a remainder.
1,3,7,21,349,1047,2443,7329
Greatest Common Factor
We found the factors and prime factorization of 7325 and 7329. The biggest common factor number is the GCF number.
So the greatest common factor 7325 and 7329 is 1.
Also check out the Least Common Multiple of 7325 and 7329
(i) The GCF of 7325 and 7329 is associative
GCF of 7325 and 7329 = GCF of 7329 and 7325
1. What is the GCF of 7325 and 7329?
Answer: GCF of 7325 and 7329 is 1.
2. What are the Factors of 7325?
Answer: Factors of 7325 are 1, 5, 25, 293, 1465, 7325. There are 6 integers that are factors of 7325. The greatest factor of 7325 is 7325.
3. 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.
4. How to Find the GCF of 7325 and 7329?
Answer:
Greatest Common Factor of 7325 and 7329 = 1
Step 1: Find the prime factorization of 7325
7325 = 5 x 5 x 293
Step 2: Find the prime factorization of 7329
7329 = 3 x 7 x 349
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 7325 and 7329 is 1