Greatest Common Factor of 9905 and 9910

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 9905, 9910 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9905 and 9910 is 5.

GCF(9905,9910) = 5

GCF of 9905 and 9910

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

GCF of:
and

Greatest Common Factor of 9905 and 9910

GCF of 9905 and 9910 is 5

Prime Factorization of 9905


5 9905
7 1981
283 283
1

Prime factors of 9905 are 5,7,283. Prime factorization of 9905 in exponential form is:

9905 = 51×71×2831

Prime Factorization of 9910


2 9910
5 4955
991 991
1

Prime factors of 9910 are 2,5,991. Prime factorization of 9910 in exponential form is:

9910 = 21×51×9911

∴ So by taking common prime factors GCF of 9905 and 9910 is 5

Greatest Common Factor of 9905 and 9910 by matching factors method

Factors of 9905

List of positive integer factors of 9905 that divides 9905 without a remainder.

1,5,7,35,283,1415,1981,9905

Factors of 9910

List of positive integer factors of 9910 that divides 9910 without a remainder.

1,2,5,10,991,1982,4955,9910

Greatest Common Factor

We found the factors and prime factorization of 9905 and 9910. The biggest common factor number is the GCF number.
So the greatest common factor 9905 and 9910 is 5.

Also check out the Least Common Multiple of 9905 and 9910

Properties of GCF 9905 and 9910

(i) The GCF of 9905 and 9910 is associative

GCF of 9905 and 9910 = GCF of 9910 and 9905

Related Greatest Common Factor of 9905

Related Greatest Common Factor of 9910

Frequently Asked Questions on GCF of 9905 and 9910

1. What is the GCF of 9905 and 9910?

Answer: GCF of 9905 and 9910 is 5.

2. What are the Factors of 9905?

Answer: Factors of 9905 are 1, 5, 7, 35, 283, 1415, 1981, 9905. There are 8 integers that are factors of 9905. The greatest factor of 9905 is 9905.

3. What are the Factors of 9910?

Answer: Factors of 9910 are 1, 2, 5, 10, 991, 1982, 4955, 9910. There are 8 integers that are factors of 9910. The greatest factor of 9910 is 9910.

4. How to Find the GCF of 9905 and 9910?

Answer:

Greatest Common Factor of 9905 and 9910 = 5

Step 1: Find the prime factorization of 9905

9905 = 5 x 7 x 283

Step 2: Find the prime factorization of 9910

9910 = 2 x 5 x 991

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 9905 and 9910 is 5