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 9813, 9820 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9813 and 9820 is 1.
GCF(9813,9820) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9813
3 | 9813 |
3271 | 3271 |
1 |
Prime factors of 9813 are 3,3271. Prime factorization of 9813 in exponential form is:
9813 = 31×32711
Prime Factorization of 9820
2 | 9820 |
2 | 4910 |
5 | 2455 |
491 | 491 |
1 |
Prime factors of 9820 are 2,5,491. Prime factorization of 9820 in exponential form is:
9820 = 22×51×4911
∴ So by taking common prime factors GCF of 9813 and 9820 is 1
Factors of 9813
List of positive integer factors of 9813 that divides 9813 without a remainder.
1,3,3271,9813
Factors of 9820
List of positive integer factors of 9820 that divides 9820 without a remainder.
1,2,4,5,10,20,491,982,1964,2455,4910,9820
Greatest Common Factor
We found the factors and prime factorization of 9813 and 9820. The biggest common factor number is the GCF number.
So the greatest common factor 9813 and 9820 is 1.
Also check out the Least Common Multiple of 9813 and 9820
(i) The GCF of 9813 and 9820 is associative
GCF of 9813 and 9820 = GCF of 9820 and 9813
1. What is the GCF of 9813 and 9820?
Answer: GCF of 9813 and 9820 is 1.
2. What are the Factors of 9813?
Answer: Factors of 9813 are 1, 3, 3271, 9813. There are 4 integers that are factors of 9813. The greatest factor of 9813 is 9813.
3. What are the Factors of 9820?
Answer: Factors of 9820 are 1, 2, 4, 5, 10, 20, 491, 982, 1964, 2455, 4910, 9820. There are 12 integers that are factors of 9820. The greatest factor of 9820 is 9820.
4. How to Find the GCF of 9813 and 9820?
Answer:
Greatest Common Factor of 9813 and 9820 = 1
Step 1: Find the prime factorization of 9813
9813 = 3 x 3271
Step 2: Find the prime factorization of 9820
9820 = 2 x 2 x 5 x 491
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 9813 and 9820 is 1