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 9935, 9943 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9935 and 9943 is 1.
GCF(9935,9943) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9935
5 | 9935 |
1987 | 1987 |
1 |
Prime factors of 9935 are 5,1987. Prime factorization of 9935 in exponential form is:
9935 = 51×19871
Prime Factorization of 9943
61 | 9943 |
163 | 163 |
1 |
Prime factors of 9943 are 61,163. Prime factorization of 9943 in exponential form is:
9943 = 611×1631
∴ So by taking common prime factors GCF of 9935 and 9943 is 1
Factors of 9935
List of positive integer factors of 9935 that divides 9935 without a remainder.
1,5,1987,9935
Factors of 9943
List of positive integer factors of 9943 that divides 9943 without a remainder.
1,61,163,9943
Greatest Common Factor
We found the factors and prime factorization of 9935 and 9943. The biggest common factor number is the GCF number.
So the greatest common factor 9935 and 9943 is 1.
Also check out the Least Common Multiple of 9935 and 9943
(i) The GCF of 9935 and 9943 is associative
GCF of 9935 and 9943 = GCF of 9943 and 9935
1. What is the GCF of 9935 and 9943?
Answer: GCF of 9935 and 9943 is 1.
2. What are the Factors of 9935?
Answer: Factors of 9935 are 1, 5, 1987, 9935. There are 4 integers that are factors of 9935. The greatest factor of 9935 is 9935.
3. What are the Factors of 9943?
Answer: Factors of 9943 are 1, 61, 163, 9943. There are 4 integers that are factors of 9943. The greatest factor of 9943 is 9943.
4. How to Find the GCF of 9935 and 9943?
Answer:
Greatest Common Factor of 9935 and 9943 = 1
Step 1: Find the prime factorization of 9935
9935 = 5 x 1987
Step 2: Find the prime factorization of 9943
9943 = 61 x 163
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 9935 and 9943 is 1