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, 9929 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9924 and 9929 is 1.
GCF(9924,9929) = 1
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 9929
9929 | 9929 |
1 |
Prime factors of 9929 are 9929. Prime factorization of 9929 in exponential form is:
9929 = 99291
∴ So by taking common prime factors GCF of 9924 and 9929 is 1
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 9929
List of positive integer factors of 9929 that divides 9929 without a remainder.
1,9929
Greatest Common Factor
We found the factors and prime factorization of 9924 and 9929. The biggest common factor number is the GCF number.
So the greatest common factor 9924 and 9929 is 1.
Also check out the Least Common Multiple of 9924 and 9929
(i) The GCF of 9924 and 9929 is associative
GCF of 9924 and 9929 = GCF of 9929 and 9924
1. What is the GCF of 9924 and 9929?
Answer: GCF of 9924 and 9929 is 1.
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 9929?
Answer: Factors of 9929 are 1, 9929. There are 2 integers that are factors of 9929. The greatest factor of 9929 is 9929.
4. How to Find the GCF of 9924 and 9929?
Answer:
Greatest Common Factor of 9924 and 9929 = 1
Step 1: Find the prime factorization of 9924
9924 = 2 x 2 x 3 x 827
Step 2: Find the prime factorization of 9929
9929 = 9929
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 9924 and 9929 is 1