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 9922, 9923 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9922 and 9923 is 1.
GCF(9922,9923) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9922
2 | 9922 |
11 | 4961 |
11 | 451 |
41 | 41 |
1 |
Prime factors of 9922 are 2,11,41. Prime factorization of 9922 in exponential form is:
9922 = 21×112×411
Prime Factorization of 9923
9923 | 9923 |
1 |
Prime factors of 9923 are 9923. Prime factorization of 9923 in exponential form is:
9923 = 99231
∴ So by taking common prime factors GCF of 9922 and 9923 is 1
Factors of 9922
List of positive integer factors of 9922 that divides 9922 without a remainder.
1,2,11,22,41,82,121,242,451,902,4961,9922
Factors of 9923
List of positive integer factors of 9923 that divides 9923 without a remainder.
1,9923
Greatest Common Factor
We found the factors and prime factorization of 9922 and 9923. The biggest common factor number is the GCF number.
So the greatest common factor 9922 and 9923 is 1.
Also check out the Least Common Multiple of 9922 and 9923
(i) The GCF of 9922 and 9923 is associative
GCF of 9922 and 9923 = GCF of 9923 and 9922
1. What is the GCF of 9922 and 9923?
Answer: GCF of 9922 and 9923 is 1.
2. What are the Factors of 9922?
Answer: Factors of 9922 are 1, 2, 11, 22, 41, 82, 121, 242, 451, 902, 4961, 9922. There are 12 integers that are factors of 9922. The greatest factor of 9922 is 9922.
3. What are the Factors of 9923?
Answer: Factors of 9923 are 1, 9923. There are 2 integers that are factors of 9923. The greatest factor of 9923 is 9923.
4. How to Find the GCF of 9922 and 9923?
Answer:
Greatest Common Factor of 9922 and 9923 = 1
Step 1: Find the prime factorization of 9922
9922 = 2 x 11 x 11 x 41
Step 2: Find the prime factorization of 9923
9923 = 9923
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 9922 and 9923 is 1