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 9215, 9218 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9215 and 9218 is 1.
GCF(9215,9218) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9215
5 | 9215 |
19 | 1843 |
97 | 97 |
1 |
Prime factors of 9215 are 5,19,97. Prime factorization of 9215 in exponential form is:
9215 = 51×191×971
Prime Factorization of 9218
2 | 9218 |
11 | 4609 |
419 | 419 |
1 |
Prime factors of 9218 are 2,11,419. Prime factorization of 9218 in exponential form is:
9218 = 21×111×4191
∴ So by taking common prime factors GCF of 9215 and 9218 is 1
Factors of 9215
List of positive integer factors of 9215 that divides 9215 without a remainder.
1,5,19,95,97,485,1843,9215
Factors of 9218
List of positive integer factors of 9218 that divides 9218 without a remainder.
1,2,11,22,419,838,4609,9218
Greatest Common Factor
We found the factors and prime factorization of 9215 and 9218. The biggest common factor number is the GCF number.
So the greatest common factor 9215 and 9218 is 1.
Also check out the Least Common Multiple of 9215 and 9218
(i) The GCF of 9215 and 9218 is associative
GCF of 9215 and 9218 = GCF of 9218 and 9215
1. What is the GCF of 9215 and 9218?
Answer: GCF of 9215 and 9218 is 1.
2. What are the Factors of 9215?
Answer: Factors of 9215 are 1, 5, 19, 95, 97, 485, 1843, 9215. There are 8 integers that are factors of 9215. The greatest factor of 9215 is 9215.
3. What are the Factors of 9218?
Answer: Factors of 9218 are 1, 2, 11, 22, 419, 838, 4609, 9218. There are 8 integers that are factors of 9218. The greatest factor of 9218 is 9218.
4. How to Find the GCF of 9215 and 9218?
Answer:
Greatest Common Factor of 9215 and 9218 = 1
Step 1: Find the prime factorization of 9215
9215 = 5 x 19 x 97
Step 2: Find the prime factorization of 9218
9218 = 2 x 11 x 419
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 9215 and 9218 is 1