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 9824, 9830 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9824 and 9830 is 2.
GCF(9824,9830) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9824
2 | 9824 |
2 | 4912 |
2 | 2456 |
2 | 1228 |
2 | 614 |
307 | 307 |
1 |
Prime factors of 9824 are 2,307. Prime factorization of 9824 in exponential form is:
9824 = 25×3071
Prime Factorization of 9830
2 | 9830 |
5 | 4915 |
983 | 983 |
1 |
Prime factors of 9830 are 2,5,983. Prime factorization of 9830 in exponential form is:
9830 = 21×51×9831
∴ So by taking common prime factors GCF of 9824 and 9830 is 2
Factors of 9824
List of positive integer factors of 9824 that divides 9824 without a remainder.
1,2,4,8,16,32,307,614,1228,2456,4912,9824
Factors of 9830
List of positive integer factors of 9830 that divides 9830 without a remainder.
1,2,5,10,983,1966,4915,9830
Greatest Common Factor
We found the factors and prime factorization of 9824 and 9830. The biggest common factor number is the GCF number.
So the greatest common factor 9824 and 9830 is 2.
Also check out the Least Common Multiple of 9824 and 9830
(i) The GCF of 9824 and 9830 is associative
GCF of 9824 and 9830 = GCF of 9830 and 9824
1. What is the GCF of 9824 and 9830?
Answer: GCF of 9824 and 9830 is 2.
2. What are the Factors of 9824?
Answer: Factors of 9824 are 1, 2, 4, 8, 16, 32, 307, 614, 1228, 2456, 4912, 9824. There are 12 integers that are factors of 9824. The greatest factor of 9824 is 9824.
3. What are the Factors of 9830?
Answer: Factors of 9830 are 1, 2, 5, 10, 983, 1966, 4915, 9830. There are 8 integers that are factors of 9830. The greatest factor of 9830 is 9830.
4. How to Find the GCF of 9824 and 9830?
Answer:
Greatest Common Factor of 9824 and 9830 = 2
Step 1: Find the prime factorization of 9824
9824 = 2 x 2 x 2 x 2 x 2 x 307
Step 2: Find the prime factorization of 9830
9830 = 2 x 5 x 983
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 9824 and 9830 is 2