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 9275, 9280 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9275 and 9280 is 5.
GCF(9275,9280) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9280
2 | 9280 |
2 | 4640 |
2 | 2320 |
2 | 1160 |
2 | 580 |
2 | 290 |
5 | 145 |
29 | 29 |
1 |
Prime factors of 9280 are 2,5,29. Prime factorization of 9280 in exponential form is:
9280 = 26×51×291
∴ So by taking common prime factors GCF of 9275 and 9280 is 5
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
Factors of 9280
List of positive integer factors of 9280 that divides 9280 without a remainder.
1,2,4,5,8,10,16,20,29,32,40,58,64,80,116,145,160,232,290,320,464,580,928,1160,1856,2320,4640,9280
Greatest Common Factor
We found the factors and prime factorization of 9275 and 9280. The biggest common factor number is the GCF number.
So the greatest common factor 9275 and 9280 is 5.
Also check out the Least Common Multiple of 9275 and 9280
(i) The GCF of 9275 and 9280 is associative
GCF of 9275 and 9280 = GCF of 9280 and 9275
1. What is the GCF of 9275 and 9280?
Answer: GCF of 9275 and 9280 is 5.
2. 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.
3. What are the Factors of 9280?
Answer: Factors of 9280 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 64, 80, 116, 145, 160, 232, 290, 320, 464, 580, 928, 1160, 1856, 2320, 4640, 9280. There are 28 integers that are factors of 9280. The greatest factor of 9280 is 9280.
4. How to Find the GCF of 9275 and 9280?
Answer:
Greatest Common Factor of 9275 and 9280 = 5
Step 1: Find the prime factorization of 9275
9275 = 5 x 5 x 7 x 53
Step 2: Find the prime factorization of 9280
9280 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 29
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 9275 and 9280 is 5