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 9910, 9918 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9910 and 9918 is 2.
GCF(9910,9918) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9910
2 | 9910 |
5 | 4955 |
991 | 991 |
1 |
Prime factors of 9910 are 2,5,991. Prime factorization of 9910 in exponential form is:
9910 = 21×51×9911
Prime Factorization of 9918
2 | 9918 |
3 | 4959 |
3 | 1653 |
19 | 551 |
29 | 29 |
1 |
Prime factors of 9918 are 2,3,19,29. Prime factorization of 9918 in exponential form is:
9918 = 21×32×191×291
∴ So by taking common prime factors GCF of 9910 and 9918 is 2
Factors of 9910
List of positive integer factors of 9910 that divides 9910 without a remainder.
1,2,5,10,991,1982,4955,9910
Factors of 9918
List of positive integer factors of 9918 that divides 9918 without a remainder.
1,2,3,6,9,18,19,29,38,57,58,87,114,171,174,261,342,522,551,1102,1653,3306,4959,9918
Greatest Common Factor
We found the factors and prime factorization of 9910 and 9918. The biggest common factor number is the GCF number.
So the greatest common factor 9910 and 9918 is 2.
Also check out the Least Common Multiple of 9910 and 9918
(i) The GCF of 9910 and 9918 is associative
GCF of 9910 and 9918 = GCF of 9918 and 9910
1. What is the GCF of 9910 and 9918?
Answer: GCF of 9910 and 9918 is 2.
2. What are the Factors of 9910?
Answer: Factors of 9910 are 1, 2, 5, 10, 991, 1982, 4955, 9910. There are 8 integers that are factors of 9910. The greatest factor of 9910 is 9910.
3. What are the Factors of 9918?
Answer: Factors of 9918 are 1, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261, 342, 522, 551, 1102, 1653, 3306, 4959, 9918. There are 24 integers that are factors of 9918. The greatest factor of 9918 is 9918.
4. How to Find the GCF of 9910 and 9918?
Answer:
Greatest Common Factor of 9910 and 9918 = 2
Step 1: Find the prime factorization of 9910
9910 = 2 x 5 x 991
Step 2: Find the prime factorization of 9918
9918 = 2 x 3 x 3 x 19 x 29
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 9910 and 9918 is 2