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 9888, 9893 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9888 and 9893 is 1.
GCF(9888,9893) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9888
2 | 9888 |
2 | 4944 |
2 | 2472 |
2 | 1236 |
2 | 618 |
3 | 309 |
103 | 103 |
1 |
Prime factors of 9888 are 2,3,103. Prime factorization of 9888 in exponential form is:
9888 = 25×31×1031
Prime Factorization of 9893
13 | 9893 |
761 | 761 |
1 |
Prime factors of 9893 are 13,761. Prime factorization of 9893 in exponential form is:
9893 = 131×7611
∴ So by taking common prime factors GCF of 9888 and 9893 is 1
Factors of 9888
List of positive integer factors of 9888 that divides 9888 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96,103,206,309,412,618,824,1236,1648,2472,3296,4944,9888
Factors of 9893
List of positive integer factors of 9893 that divides 9893 without a remainder.
1,13,761,9893
Greatest Common Factor
We found the factors and prime factorization of 9888 and 9893. The biggest common factor number is the GCF number.
So the greatest common factor 9888 and 9893 is 1.
Also check out the Least Common Multiple of 9888 and 9893
(i) The GCF of 9888 and 9893 is associative
GCF of 9888 and 9893 = GCF of 9893 and 9888
1. What is the GCF of 9888 and 9893?
Answer: GCF of 9888 and 9893 is 1.
2. What are the Factors of 9888?
Answer: Factors of 9888 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 3296, 4944, 9888. There are 24 integers that are factors of 9888. The greatest factor of 9888 is 9888.
3. What are the Factors of 9893?
Answer: Factors of 9893 are 1, 13, 761, 9893. There are 4 integers that are factors of 9893. The greatest factor of 9893 is 9893.
4. How to Find the GCF of 9888 and 9893?
Answer:
Greatest Common Factor of 9888 and 9893 = 1
Step 1: Find the prime factorization of 9888
9888 = 2 x 2 x 2 x 2 x 2 x 3 x 103
Step 2: Find the prime factorization of 9893
9893 = 13 x 761
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 9888 and 9893 is 1