Greatest Common Factor of 9906 and 9913

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 9906, 9913 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9906 and 9913 is 1.

GCF(9906,9913) = 1

GCF of 9906 and 9913

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

GCF of:
and

Greatest Common Factor of 9906 and 9913

GCF of 9906 and 9913 is 1

Prime Factorization of 9906


2 9906
3 4953
13 1651
127 127
1

Prime factors of 9906 are 2,3,13,127. Prime factorization of 9906 in exponential form is:

9906 = 21×31×131×1271

Prime Factorization of 9913


23 9913
431 431
1

Prime factors of 9913 are 23,431. Prime factorization of 9913 in exponential form is:

9913 = 231×4311

∴ So by taking common prime factors GCF of 9906 and 9913 is 1

Greatest Common Factor of 9906 and 9913 by matching factors method

Factors of 9906

List of positive integer factors of 9906 that divides 9906 without a remainder.

1,2,3,6,13,26,39,78,127,254,381,762,1651,3302,4953,9906

Factors of 9913

List of positive integer factors of 9913 that divides 9913 without a remainder.

1,23,431,9913

Greatest Common Factor

We found the factors and prime factorization of 9906 and 9913. The biggest common factor number is the GCF number.
So the greatest common factor 9906 and 9913 is 1.

Also check out the Least Common Multiple of 9906 and 9913

Properties of GCF 9906 and 9913

(i) The GCF of 9906 and 9913 is associative

GCF of 9906 and 9913 = GCF of 9913 and 9906

Related Greatest Common Factor of 9906

Related Greatest Common Factor of 9913

Frequently Asked Questions on GCF of 9906 and 9913

1. What is the GCF of 9906 and 9913?

Answer: GCF of 9906 and 9913 is 1.

2. What are the Factors of 9906?

Answer: Factors of 9906 are 1, 2, 3, 6, 13, 26, 39, 78, 127, 254, 381, 762, 1651, 3302, 4953, 9906. There are 16 integers that are factors of 9906. The greatest factor of 9906 is 9906.

3. What are the Factors of 9913?

Answer: Factors of 9913 are 1, 23, 431, 9913. There are 4 integers that are factors of 9913. The greatest factor of 9913 is 9913.

4. How to Find the GCF of 9906 and 9913?

Answer:

Greatest Common Factor of 9906 and 9913 = 1

Step 1: Find the prime factorization of 9906

9906 = 2 x 3 x 13 x 127

Step 2: Find the prime factorization of 9913

9913 = 23 x 431

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 9906 and 9913 is 1