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 9873, 9878 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9873 and 9878 is 1.
GCF(9873,9878) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9873
3 | 9873 |
3 | 3291 |
1097 | 1097 |
1 |
Prime factors of 9873 are 3,1097. Prime factorization of 9873 in exponential form is:
9873 = 32×10971
Prime Factorization of 9878
2 | 9878 |
11 | 4939 |
449 | 449 |
1 |
Prime factors of 9878 are 2,11,449. Prime factorization of 9878 in exponential form is:
9878 = 21×111×4491
∴ So by taking common prime factors GCF of 9873 and 9878 is 1
Factors of 9873
List of positive integer factors of 9873 that divides 9873 without a remainder.
1,3,9,1097,3291,9873
Factors of 9878
List of positive integer factors of 9878 that divides 9878 without a remainder.
1,2,11,22,449,898,4939,9878
Greatest Common Factor
We found the factors and prime factorization of 9873 and 9878. The biggest common factor number is the GCF number.
So the greatest common factor 9873 and 9878 is 1.
Also check out the Least Common Multiple of 9873 and 9878
(i) The GCF of 9873 and 9878 is associative
GCF of 9873 and 9878 = GCF of 9878 and 9873
1. What is the GCF of 9873 and 9878?
Answer: GCF of 9873 and 9878 is 1.
2. What are the Factors of 9873?
Answer: Factors of 9873 are 1, 3, 9, 1097, 3291, 9873. There are 6 integers that are factors of 9873. The greatest factor of 9873 is 9873.
3. What are the Factors of 9878?
Answer: Factors of 9878 are 1, 2, 11, 22, 449, 898, 4939, 9878. There are 8 integers that are factors of 9878. The greatest factor of 9878 is 9878.
4. How to Find the GCF of 9873 and 9878?
Answer:
Greatest Common Factor of 9873 and 9878 = 1
Step 1: Find the prime factorization of 9873
9873 = 3 x 3 x 1097
Step 2: Find the prime factorization of 9878
9878 = 2 x 11 x 449
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 9873 and 9878 is 1