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 9415, 9417 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9415 and 9417 is 1.
GCF(9415,9417) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9415
5 | 9415 |
7 | 1883 |
269 | 269 |
1 |
Prime factors of 9415 are 5,7,269. Prime factorization of 9415 in exponential form is:
9415 = 51×71×2691
Prime Factorization of 9417
3 | 9417 |
43 | 3139 |
73 | 73 |
1 |
Prime factors of 9417 are 3,43,73. Prime factorization of 9417 in exponential form is:
9417 = 31×431×731
∴ So by taking common prime factors GCF of 9415 and 9417 is 1
Factors of 9415
List of positive integer factors of 9415 that divides 9415 without a remainder.
1,5,7,35,269,1345,1883,9415
Factors of 9417
List of positive integer factors of 9417 that divides 9417 without a remainder.
1,3,43,73,129,219,3139,9417
Greatest Common Factor
We found the factors and prime factorization of 9415 and 9417. The biggest common factor number is the GCF number.
So the greatest common factor 9415 and 9417 is 1.
Also check out the Least Common Multiple of 9415 and 9417
(i) The GCF of 9415 and 9417 is associative
GCF of 9415 and 9417 = GCF of 9417 and 9415
1. What is the GCF of 9415 and 9417?
Answer: GCF of 9415 and 9417 is 1.
2. What are the Factors of 9415?
Answer: Factors of 9415 are 1, 5, 7, 35, 269, 1345, 1883, 9415. There are 8 integers that are factors of 9415. The greatest factor of 9415 is 9415.
3. What are the Factors of 9417?
Answer: Factors of 9417 are 1, 3, 43, 73, 129, 219, 3139, 9417. There are 8 integers that are factors of 9417. The greatest factor of 9417 is 9417.
4. How to Find the GCF of 9415 and 9417?
Answer:
Greatest Common Factor of 9415 and 9417 = 1
Step 1: Find the prime factorization of 9415
9415 = 5 x 7 x 269
Step 2: Find the prime factorization of 9417
9417 = 3 x 43 x 73
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 9415 and 9417 is 1