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 9860, 9864 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9860 and 9864 is 4.
GCF(9860,9864) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9860
2 | 9860 |
2 | 4930 |
5 | 2465 |
17 | 493 |
29 | 29 |
1 |
Prime factors of 9860 are 2,5,17,29. Prime factorization of 9860 in exponential form is:
9860 = 22×51×171×291
Prime Factorization of 9864
2 | 9864 |
2 | 4932 |
2 | 2466 |
3 | 1233 |
3 | 411 |
137 | 137 |
1 |
Prime factors of 9864 are 2,3,137. Prime factorization of 9864 in exponential form is:
9864 = 23×32×1371
∴ So by taking common prime factors GCF of 9860 and 9864 is 4
Factors of 9860
List of positive integer factors of 9860 that divides 9860 without a remainder.
1,2,4,5,10,17,20,29,34,58,68,85,116,145,170,290,340,493,580,986,1972,2465,4930,9860
Factors of 9864
List of positive integer factors of 9864 that divides 9864 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,137,274,411,548,822,1096,1233,1644,2466,3288,4932,9864
Greatest Common Factor
We found the factors and prime factorization of 9860 and 9864. The biggest common factor number is the GCF number.
So the greatest common factor 9860 and 9864 is 4.
Also check out the Least Common Multiple of 9860 and 9864
(i) The GCF of 9860 and 9864 is associative
GCF of 9860 and 9864 = GCF of 9864 and 9860
1. What is the GCF of 9860 and 9864?
Answer: GCF of 9860 and 9864 is 4.
2. What are the Factors of 9860?
Answer: Factors of 9860 are 1, 2, 4, 5, 10, 17, 20, 29, 34, 58, 68, 85, 116, 145, 170, 290, 340, 493, 580, 986, 1972, 2465, 4930, 9860. There are 24 integers that are factors of 9860. The greatest factor of 9860 is 9860.
3. What are the Factors of 9864?
Answer: Factors of 9864 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 137, 274, 411, 548, 822, 1096, 1233, 1644, 2466, 3288, 4932, 9864. There are 24 integers that are factors of 9864. The greatest factor of 9864 is 9864.
4. How to Find the GCF of 9860 and 9864?
Answer:
Greatest Common Factor of 9860 and 9864 = 4
Step 1: Find the prime factorization of 9860
9860 = 2 x 2 x 5 x 17 x 29
Step 2: Find the prime factorization of 9864
9864 = 2 x 2 x 2 x 3 x 3 x 137
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 9860 and 9864 is 4