Greatest Common Factor of 9905 and 9909

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, 9909 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9905 and 9909 is 1.

GCF(9905,9909) = 1

GCF of 9905 and 9909

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

GCF of:
and

Greatest Common Factor of 9905 and 9909

GCF of 9905 and 9909 is 1

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 9909


3 9909
3 3303
3 1101
367 367
1

Prime factors of 9909 are 3,367. Prime factorization of 9909 in exponential form is:

9909 = 33×3671

∴ So by taking common prime factors GCF of 9905 and 9909 is 1

Greatest Common Factor of 9905 and 9909 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 9909

List of positive integer factors of 9909 that divides 9909 without a remainder.

1,3,9,27,367,1101,3303,9909

Greatest Common Factor

We found the factors and prime factorization of 9905 and 9909. The biggest common factor number is the GCF number.
So the greatest common factor 9905 and 9909 is 1.

Also check out the Least Common Multiple of 9905 and 9909

Properties of GCF 9905 and 9909

(i) The GCF of 9905 and 9909 is associative

GCF of 9905 and 9909 = GCF of 9909 and 9905

Related Greatest Common Factor of 9905

Related Greatest Common Factor of 9909

Frequently Asked Questions on GCF of 9905 and 9909

1. What is the GCF of 9905 and 9909?

Answer: GCF of 9905 and 9909 is 1.

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 9909?

Answer: Factors of 9909 are 1, 3, 9, 27, 367, 1101, 3303, 9909. There are 8 integers that are factors of 9909. The greatest factor of 9909 is 9909.

4. How to Find the GCF of 9905 and 9909?

Answer:

Greatest Common Factor of 9905 and 9909 = 1

Step 1: Find the prime factorization of 9905

9905 = 5 x 7 x 283

Step 2: Find the prime factorization of 9909

9909 = 3 x 3 x 3 x 367

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 9905 and 9909 is 1