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 9217, 9225 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9217 and 9225 is 1.
GCF(9217,9225) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9217
13 | 9217 |
709 | 709 |
1 |
Prime factors of 9217 are 13,709. Prime factorization of 9217 in exponential form is:
9217 = 131×7091
Prime Factorization of 9225
3 | 9225 |
3 | 3075 |
5 | 1025 |
5 | 205 |
41 | 41 |
1 |
Prime factors of 9225 are 3,5,41. Prime factorization of 9225 in exponential form is:
9225 = 32×52×411
∴ So by taking common prime factors GCF of 9217 and 9225 is 1
Factors of 9217
List of positive integer factors of 9217 that divides 9217 without a remainder.
1,13,709,9217
Factors of 9225
List of positive integer factors of 9225 that divides 9225 without a remainder.
1,3,5,9,15,25,41,45,75,123,205,225,369,615,1025,1845,3075,9225
Greatest Common Factor
We found the factors and prime factorization of 9217 and 9225. The biggest common factor number is the GCF number.
So the greatest common factor 9217 and 9225 is 1.
Also check out the Least Common Multiple of 9217 and 9225
(i) The GCF of 9217 and 9225 is associative
GCF of 9217 and 9225 = GCF of 9225 and 9217
1. What is the GCF of 9217 and 9225?
Answer: GCF of 9217 and 9225 is 1.
2. What are the Factors of 9217?
Answer: Factors of 9217 are 1, 13, 709, 9217. There are 4 integers that are factors of 9217. The greatest factor of 9217 is 9217.
3. What are the Factors of 9225?
Answer: Factors of 9225 are 1, 3, 5, 9, 15, 25, 41, 45, 75, 123, 205, 225, 369, 615, 1025, 1845, 3075, 9225. There are 18 integers that are factors of 9225. The greatest factor of 9225 is 9225.
4. How to Find the GCF of 9217 and 9225?
Answer:
Greatest Common Factor of 9217 and 9225 = 1
Step 1: Find the prime factorization of 9217
9217 = 13 x 709
Step 2: Find the prime factorization of 9225
9225 = 3 x 3 x 5 x 5 x 41
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 9217 and 9225 is 1