Greatest Common Factor of 9835 and 9841

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 9835, 9841 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9835 and 9841 is 1.

GCF(9835,9841) = 1

GCF of 9835 and 9841

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

GCF of:
and

Greatest Common Factor of 9835 and 9841

GCF of 9835 and 9841 is 1

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

Prime Factorization of 9841


13 9841
757 757
1

Prime factors of 9841 are 13,757. Prime factorization of 9841 in exponential form is:

9841 = 131×7571

∴ So by taking common prime factors GCF of 9835 and 9841 is 1

Greatest Common Factor of 9835 and 9841 by matching factors method

Factors of 9835

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

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

Factors of 9841

List of positive integer factors of 9841 that divides 9841 without a remainder.

1,13,757,9841

Greatest Common Factor

We found the factors and prime factorization of 9835 and 9841. The biggest common factor number is the GCF number.
So the greatest common factor 9835 and 9841 is 1.

Also check out the Least Common Multiple of 9835 and 9841

Properties of GCF 9835 and 9841

(i) The GCF of 9835 and 9841 is associative

GCF of 9835 and 9841 = GCF of 9841 and 9835

Frequently Asked Questions on GCF of 9835 and 9841

1. What is the GCF of 9835 and 9841?

Answer: GCF of 9835 and 9841 is 1.

2. 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.

3. What are the Factors of 9841?

Answer: Factors of 9841 are 1, 13, 757, 9841. There are 4 integers that are factors of 9841. The greatest factor of 9841 is 9841.

4. How to Find the GCF of 9835 and 9841?

Answer:

Greatest Common Factor of 9835 and 9841 = 1

Step 1: Find the prime factorization of 9835

9835 = 5 x 7 x 281

Step 2: Find the prime factorization of 9841

9841 = 13 x 757

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 9835 and 9841 is 1