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 9924, 9930 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9924 and 9930 is 6.
GCF(9924,9930) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9924
2 | 9924 |
2 | 4962 |
3 | 2481 |
827 | 827 |
1 |
Prime factors of 9924 are 2,3,827. Prime factorization of 9924 in exponential form is:
9924 = 22×31×8271
Prime Factorization of 9930
2 | 9930 |
3 | 4965 |
5 | 1655 |
331 | 331 |
1 |
Prime factors of 9930 are 2,3,5,331. Prime factorization of 9930 in exponential form is:
9930 = 21×31×51×3311
∴ So by taking common prime factors GCF of 9924 and 9930 is 6
Factors of 9924
List of positive integer factors of 9924 that divides 9924 without a remainder.
1,2,3,4,6,12,827,1654,2481,3308,4962,9924
Factors of 9930
List of positive integer factors of 9930 that divides 9930 without a remainder.
1,2,3,5,6,10,15,30,331,662,993,1655,1986,3310,4965,9930
Greatest Common Factor
We found the factors and prime factorization of 9924 and 9930. The biggest common factor number is the GCF number.
So the greatest common factor 9924 and 9930 is 6.
Also check out the Least Common Multiple of 9924 and 9930
(i) The GCF of 9924 and 9930 is associative
GCF of 9924 and 9930 = GCF of 9930 and 9924
1. What is the GCF of 9924 and 9930?
Answer: GCF of 9924 and 9930 is 6.
2. What are the Factors of 9924?
Answer: Factors of 9924 are 1, 2, 3, 4, 6, 12, 827, 1654, 2481, 3308, 4962, 9924. There are 12 integers that are factors of 9924. The greatest factor of 9924 is 9924.
3. What are the Factors of 9930?
Answer: Factors of 9930 are 1, 2, 3, 5, 6, 10, 15, 30, 331, 662, 993, 1655, 1986, 3310, 4965, 9930. There are 16 integers that are factors of 9930. The greatest factor of 9930 is 9930.
4. How to Find the GCF of 9924 and 9930?
Answer:
Greatest Common Factor of 9924 and 9930 = 6
Step 1: Find the prime factorization of 9924
9924 = 2 x 2 x 3 x 827
Step 2: Find the prime factorization of 9930
9930 = 2 x 3 x 5 x 331
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 9924 and 9930 is 6