Greatest Common Factor of 9930 and 9935

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 9930, 9935 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9930 and 9935 is 5.

GCF(9930,9935) = 5

GCF of 9930 and 9935

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9930 and 9935

GCF of 9930 and 9935 is 5

Prime Factorization of 9930


2 9930
3 4965
5 1655
331 331
1

Prime factors of 9930 are 2,3,5,331. Prime factorization of 9930 in exponential form is:

9930 = 21×31×51×3311

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 9930 and 9935 is 5

Greatest Common Factor of 9930 and 9935 by matching factors method

Factors of 9930

List of positive integer factors of 9930 that divides 9930 without a remainder.

1,2,3,5,6,10,15,30,331,662,993,1655,1986,3310,4965,9930

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 9930 and 9935. The biggest common factor number is the GCF number.
So the greatest common factor 9930 and 9935 is 5.

Also check out the Least Common Multiple of 9930 and 9935

Properties of GCF 9930 and 9935

(i) The GCF of 9930 and 9935 is associative

GCF of 9930 and 9935 = GCF of 9935 and 9930

Related Greatest Common Factor of 9930

Related Greatest Common Factor of 9935

Frequently Asked Questions on GCF of 9930 and 9935

1. What is the GCF of 9930 and 9935?

Answer: GCF of 9930 and 9935 is 5.

2. What are the Factors of 9930?

Answer: Factors of 9930 are 1, 2, 3, 5, 6, 10, 15, 30, 331, 662, 993, 1655, 1986, 3310, 4965, 9930. There are 16 integers that are factors of 9930. The greatest factor of 9930 is 9930.

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 9930 and 9935?

Answer:

Greatest Common Factor of 9930 and 9935 = 5

Step 1: Find the prime factorization of 9930

9930 = 2 x 3 x 5 x 331

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 = 5

Step 4: Therefore, the greatest common factor of 9930 and 9935 is 5