Greatest Common Factor of 9830 and 9835

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 9830, 9835 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9830 and 9835 is 5.

GCF(9830,9835) = 5

GCF of 9830 and 9835

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

GCF of:
and

Greatest Common Factor of 9830 and 9835

GCF of 9830 and 9835 is 5

Prime Factorization of 9830


2 9830
5 4915
983 983
1

Prime factors of 9830 are 2,5,983. Prime factorization of 9830 in exponential form is:

9830 = 21×51×9831

Prime Factorization of 9835


5 9835
7 1967
281 281
1

Prime factors of 9835 are 5,7,281. Prime factorization of 9835 in exponential form is:

9835 = 51×71×2811

∴ So by taking common prime factors GCF of 9830 and 9835 is 5

Greatest Common Factor of 9830 and 9835 by matching factors method

Factors of 9830

List of positive integer factors of 9830 that divides 9830 without a remainder.

1,2,5,10,983,1966,4915,9830

Factors of 9835

List of positive integer factors of 9835 that divides 9835 without a remainder.

1,5,7,35,281,1405,1967,9835

Greatest Common Factor

We found the factors and prime factorization of 9830 and 9835. The biggest common factor number is the GCF number.
So the greatest common factor 9830 and 9835 is 5.

Also check out the Least Common Multiple of 9830 and 9835

Properties of GCF 9830 and 9835

(i) The GCF of 9830 and 9835 is associative

GCF of 9830 and 9835 = GCF of 9835 and 9830

Related Greatest Common Factor of 9830

Related Greatest Common Factor of 9835

Frequently Asked Questions on GCF of 9830 and 9835

1. What is the GCF of 9830 and 9835?

Answer: GCF of 9830 and 9835 is 5.

2. What are the Factors of 9830?

Answer: Factors of 9830 are 1, 2, 5, 10, 983, 1966, 4915, 9830. There are 8 integers that are factors of 9830. The greatest factor of 9830 is 9830.

3. What are the Factors of 9835?

Answer: Factors of 9835 are 1, 5, 7, 35, 281, 1405, 1967, 9835. There are 8 integers that are factors of 9835. The greatest factor of 9835 is 9835.

4. How to Find the GCF of 9830 and 9835?

Answer:

Greatest Common Factor of 9830 and 9835 = 5

Step 1: Find the prime factorization of 9830

9830 = 2 x 5 x 983

Step 2: Find the prime factorization of 9835

9835 = 5 x 7 x 281

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 9830 and 9835 is 5