Greatest Common Factor of 9870 and 9877
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 9870, 9877 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9870 and 9877 is 7.
GCF(9870,9877) = 7
GCF of 9870 and 9877
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 9870 and 9877 by prime factorization method
- Greatest Common Factor of 9870 and 9877 by matching factors method
GCF of 9870 and 9877 is 7
Prime Factorization of 9870
| 2 | 9870 |
| 3 | 4935 |
| 5 | 1645 |
| 7 | 329 |
| 47 | 47 |
| 1 |
Prime factors of 9870 are 2,3,5,7,47. Prime factorization of 9870 in exponential form is:
9870 = 21×31×51×71×471
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 9870 and 9877 is 7
Greatest Common Factor of 9870 and 9877 by matching factors method
Factors of 9870
List of positive integer factors of 9870 that divides 9870 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,47,70,94,105,141,210,235,282,329,470,658,705,987,1410,1645,1974,3290,4935,9870
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 9870 and 9877. The biggest common factor number is the GCF number.
So the greatest common factor 9870 and 9877 is 7.
Also check out the Least Common Multiple of 9870 and 9877
Properties of GCF 9870 and 9877
(i) The GCF of 9870 and 9877 is associative
GCF of 9870 and 9877 = GCF of 9877 and 9870
Related Greatest Common Factor of 9870
Related Greatest Common Factor of 9877
Frequently Asked Questions on GCF of 9870 and 9877
1. What is the GCF of 9870 and 9877?
Answer: GCF of 9870 and 9877 is 7.
2. What are the Factors of 9870?
Answer: Factors of 9870 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 47, 70, 94, 105, 141, 210, 235, 282, 329, 470, 658, 705, 987, 1410, 1645, 1974, 3290, 4935, 9870. There are 32 integers that are factors of 9870. The greatest factor of 9870 is 9870.
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 9870 and 9877?
Answer:
Greatest Common Factor of 9870 and 9877 = 7
Step 1: Find the prime factorization of 9870
9870 = 2 x 3 x 5 x 7 x 47
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 = 7
Step 4: Therefore, the greatest common factor of 9870 and 9877 is 7
