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, 9877 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9876 and 9877 is 1.
GCF(9876,9877) = 1
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 9877
7 | 9877 |
17 | 1411 |
83 | 83 |
1 |
Prime factors of 9877 are 7,17,83. Prime factorization of 9877 in exponential form is:
9877 = 71×171×831
∴ So by taking common prime factors GCF of 9876 and 9877 is 1
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 9877
List of positive integer factors of 9877 that divides 9877 without a remainder.
1,7,17,83,119,581,1411,9877
Greatest Common Factor
We found the factors and prime factorization of 9876 and 9877. The biggest common factor number is the GCF number.
So the greatest common factor 9876 and 9877 is 1.
Also check out the Least Common Multiple of 9876 and 9877
(i) The GCF of 9876 and 9877 is associative
GCF of 9876 and 9877 = GCF of 9877 and 9876
1. What is the GCF of 9876 and 9877?
Answer: GCF of 9876 and 9877 is 1.
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 9877?
Answer: Factors of 9877 are 1, 7, 17, 83, 119, 581, 1411, 9877. There are 8 integers that are factors of 9877. The greatest factor of 9877 is 9877.
4. How to Find the GCF of 9876 and 9877?
Answer:
Greatest Common Factor of 9876 and 9877 = 1
Step 1: Find the prime factorization of 9876
9876 = 2 x 2 x 3 x 823
Step 2: Find the prime factorization of 9877
9877 = 7 x 17 x 83
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 9876 and 9877 is 1