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 9906, 9910 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9906 and 9910 is 2.
GCF(9906,9910) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9906
2 | 9906 |
3 | 4953 |
13 | 1651 |
127 | 127 |
1 |
Prime factors of 9906 are 2,3,13,127. Prime factorization of 9906 in exponential form is:
9906 = 21×31×131×1271
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
∴ So by taking common prime factors GCF of 9906 and 9910 is 2
Factors of 9906
List of positive integer factors of 9906 that divides 9906 without a remainder.
1,2,3,6,13,26,39,78,127,254,381,762,1651,3302,4953,9906
Factors of 9910
List of positive integer factors of 9910 that divides 9910 without a remainder.
1,2,5,10,991,1982,4955,9910
Greatest Common Factor
We found the factors and prime factorization of 9906 and 9910. The biggest common factor number is the GCF number.
So the greatest common factor 9906 and 9910 is 2.
Also check out the Least Common Multiple of 9906 and 9910
(i) The GCF of 9906 and 9910 is associative
GCF of 9906 and 9910 = GCF of 9910 and 9906
1. What is the GCF of 9906 and 9910?
Answer: GCF of 9906 and 9910 is 2.
2. What are the Factors of 9906?
Answer: Factors of 9906 are 1, 2, 3, 6, 13, 26, 39, 78, 127, 254, 381, 762, 1651, 3302, 4953, 9906. There are 16 integers that are factors of 9906. The greatest factor of 9906 is 9906.
3. 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.
4. How to Find the GCF of 9906 and 9910?
Answer:
Greatest Common Factor of 9906 and 9910 = 2
Step 1: Find the prime factorization of 9906
9906 = 2 x 3 x 13 x 127
Step 2: Find the prime factorization of 9910
9910 = 2 x 5 x 991
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 9906 and 9910 is 2