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 9273, 9275 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9273 and 9275 is 1.
GCF(9273,9275) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9273
3 | 9273 |
11 | 3091 |
281 | 281 |
1 |
Prime factors of 9273 are 3,11,281. Prime factorization of 9273 in exponential form is:
9273 = 31×111×2811
Prime Factorization of 9275
5 | 9275 |
5 | 1855 |
7 | 371 |
53 | 53 |
1 |
Prime factors of 9275 are 5,7,53. Prime factorization of 9275 in exponential form is:
9275 = 52×71×531
∴ So by taking common prime factors GCF of 9273 and 9275 is 1
Factors of 9273
List of positive integer factors of 9273 that divides 9273 without a remainder.
1,3,11,33,281,843,3091,9273
Factors of 9275
List of positive integer factors of 9275 that divides 9275 without a remainder.
1,5,7,25,35,53,175,265,371,1325,1855,9275
Greatest Common Factor
We found the factors and prime factorization of 9273 and 9275. The biggest common factor number is the GCF number.
So the greatest common factor 9273 and 9275 is 1.
Also check out the Least Common Multiple of 9273 and 9275
(i) The GCF of 9273 and 9275 is associative
GCF of 9273 and 9275 = GCF of 9275 and 9273
1. What is the GCF of 9273 and 9275?
Answer: GCF of 9273 and 9275 is 1.
2. What are the Factors of 9273?
Answer: Factors of 9273 are 1, 3, 11, 33, 281, 843, 3091, 9273. There are 8 integers that are factors of 9273. The greatest factor of 9273 is 9273.
3. What are the Factors of 9275?
Answer: Factors of 9275 are 1, 5, 7, 25, 35, 53, 175, 265, 371, 1325, 1855, 9275. There are 12 integers that are factors of 9275. The greatest factor of 9275 is 9275.
4. How to Find the GCF of 9273 and 9275?
Answer:
Greatest Common Factor of 9273 and 9275 = 1
Step 1: Find the prime factorization of 9273
9273 = 3 x 11 x 281
Step 2: Find the prime factorization of 9275
9275 = 5 x 5 x 7 x 53
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 9273 and 9275 is 1