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, 9915 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9910 and 9915 is 5.
GCF(9910,9915) = 5
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 9915
3 | 9915 |
5 | 3305 |
661 | 661 |
1 |
Prime factors of 9915 are 3,5,661. Prime factorization of 9915 in exponential form is:
9915 = 31×51×6611
∴ So by taking common prime factors GCF of 9910 and 9915 is 5
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 9915
List of positive integer factors of 9915 that divides 9915 without a remainder.
1,3,5,15,661,1983,3305,9915
Greatest Common Factor
We found the factors and prime factorization of 9910 and 9915. The biggest common factor number is the GCF number.
So the greatest common factor 9910 and 9915 is 5.
Also check out the Least Common Multiple of 9910 and 9915
(i) The GCF of 9910 and 9915 is associative
GCF of 9910 and 9915 = GCF of 9915 and 9910
1. What is the GCF of 9910 and 9915?
Answer: GCF of 9910 and 9915 is 5.
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 9915?
Answer: Factors of 9915 are 1, 3, 5, 15, 661, 1983, 3305, 9915. There are 8 integers that are factors of 9915. The greatest factor of 9915 is 9915.
4. How to Find the GCF of 9910 and 9915?
Answer:
Greatest Common Factor of 9910 and 9915 = 5
Step 1: Find the prime factorization of 9910
9910 = 2 x 5 x 991
Step 2: Find the prime factorization of 9915
9915 = 3 x 5 x 661
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 9910 and 9915 is 5