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 9618, 9622 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9618 and 9622 is 2.
GCF(9618,9622) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9618
2 | 9618 |
3 | 4809 |
7 | 1603 |
229 | 229 |
1 |
Prime factors of 9618 are 2,3,7,229. Prime factorization of 9618 in exponential form is:
9618 = 21×31×71×2291
Prime Factorization of 9622
2 | 9622 |
17 | 4811 |
283 | 283 |
1 |
Prime factors of 9622 are 2,17,283. Prime factorization of 9622 in exponential form is:
9622 = 21×171×2831
∴ So by taking common prime factors GCF of 9618 and 9622 is 2
Factors of 9618
List of positive integer factors of 9618 that divides 9618 without a remainder.
1,2,3,6,7,14,21,42,229,458,687,1374,1603,3206,4809,9618
Factors of 9622
List of positive integer factors of 9622 that divides 9622 without a remainder.
1,2,17,34,283,566,4811,9622
Greatest Common Factor
We found the factors and prime factorization of 9618 and 9622. The biggest common factor number is the GCF number.
So the greatest common factor 9618 and 9622 is 2.
Also check out the Least Common Multiple of 9618 and 9622
(i) The GCF of 9618 and 9622 is associative
GCF of 9618 and 9622 = GCF of 9622 and 9618
1. What is the GCF of 9618 and 9622?
Answer: GCF of 9618 and 9622 is 2.
2. What are the Factors of 9618?
Answer: Factors of 9618 are 1, 2, 3, 6, 7, 14, 21, 42, 229, 458, 687, 1374, 1603, 3206, 4809, 9618. There are 16 integers that are factors of 9618. The greatest factor of 9618 is 9618.
3. What are the Factors of 9622?
Answer: Factors of 9622 are 1, 2, 17, 34, 283, 566, 4811, 9622. There are 8 integers that are factors of 9622. The greatest factor of 9622 is 9622.
4. How to Find the GCF of 9618 and 9622?
Answer:
Greatest Common Factor of 9618 and 9622 = 2
Step 1: Find the prime factorization of 9618
9618 = 2 x 3 x 7 x 229
Step 2: Find the prime factorization of 9622
9622 = 2 x 17 x 283
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 9618 and 9622 is 2