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 9932, 9935 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9932 and 9935 is 1.
GCF(9932,9935) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9932
2 | 9932 |
2 | 4966 |
13 | 2483 |
191 | 191 |
1 |
Prime factors of 9932 are 2,13,191. Prime factorization of 9932 in exponential form is:
9932 = 22×131×1911
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
∴ So by taking common prime factors GCF of 9932 and 9935 is 1
Factors of 9932
List of positive integer factors of 9932 that divides 9932 without a remainder.
1,2,4,13,26,52,191,382,764,2483,4966,9932
Factors of 9935
List of positive integer factors of 9935 that divides 9935 without a remainder.
1,5,1987,9935
Greatest Common Factor
We found the factors and prime factorization of 9932 and 9935. The biggest common factor number is the GCF number.
So the greatest common factor 9932 and 9935 is 1.
Also check out the Least Common Multiple of 9932 and 9935
(i) The GCF of 9932 and 9935 is associative
GCF of 9932 and 9935 = GCF of 9935 and 9932
1. What is the GCF of 9932 and 9935?
Answer: GCF of 9932 and 9935 is 1.
2. What are the Factors of 9932?
Answer: Factors of 9932 are 1, 2, 4, 13, 26, 52, 191, 382, 764, 2483, 4966, 9932. There are 12 integers that are factors of 9932. The greatest factor of 9932 is 9932.
3. 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.
4. How to Find the GCF of 9932 and 9935?
Answer:
Greatest Common Factor of 9932 and 9935 = 1
Step 1: Find the prime factorization of 9932
9932 = 2 x 2 x 13 x 191
Step 2: Find the prime factorization of 9935
9935 = 5 x 1987
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 9932 and 9935 is 1