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 9876, 9879 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9876 and 9879 is 3.
GCF(9876,9879) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9876
2 | 9876 |
2 | 4938 |
3 | 2469 |
823 | 823 |
1 |
Prime factors of 9876 are 2,3,823. Prime factorization of 9876 in exponential form is:
9876 = 22×31×8231
Prime Factorization of 9879
3 | 9879 |
37 | 3293 |
89 | 89 |
1 |
Prime factors of 9879 are 3,37,89. Prime factorization of 9879 in exponential form is:
9879 = 31×371×891
∴ So by taking common prime factors GCF of 9876 and 9879 is 3
Factors of 9876
List of positive integer factors of 9876 that divides 9876 without a remainder.
1,2,3,4,6,12,823,1646,2469,3292,4938,9876
Factors of 9879
List of positive integer factors of 9879 that divides 9879 without a remainder.
1,3,37,89,111,267,3293,9879
Greatest Common Factor
We found the factors and prime factorization of 9876 and 9879. The biggest common factor number is the GCF number.
So the greatest common factor 9876 and 9879 is 3.
Also check out the Least Common Multiple of 9876 and 9879
(i) The GCF of 9876 and 9879 is associative
GCF of 9876 and 9879 = GCF of 9879 and 9876
1. What is the GCF of 9876 and 9879?
Answer: GCF of 9876 and 9879 is 3.
2. What are the Factors of 9876?
Answer: Factors of 9876 are 1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938, 9876. There are 12 integers that are factors of 9876. The greatest factor of 9876 is 9876.
3. What are the Factors of 9879?
Answer: Factors of 9879 are 1, 3, 37, 89, 111, 267, 3293, 9879. There are 8 integers that are factors of 9879. The greatest factor of 9879 is 9879.
4. How to Find the GCF of 9876 and 9879?
Answer:
Greatest Common Factor of 9876 and 9879 = 3
Step 1: Find the prime factorization of 9876
9876 = 2 x 2 x 3 x 823
Step 2: Find the prime factorization of 9879
9879 = 3 x 37 x 89
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 9876 and 9879 is 3