Greatest Common Factor of 9911 and 9917

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 9911, 9917 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9911 and 9917 is 1.

GCF(9911,9917) = 1

GCF of 9911 and 9917

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

GCF of:
and

Greatest Common Factor of 9911 and 9917

GCF of 9911 and 9917 is 1

Prime Factorization of 9911


11 9911
17 901
53 53
1

Prime factors of 9911 are 11,17,53. Prime factorization of 9911 in exponential form is:

9911 = 111×171×531

Prime Factorization of 9917


47 9917
211 211
1

Prime factors of 9917 are 47,211. Prime factorization of 9917 in exponential form is:

9917 = 471×2111

∴ So by taking common prime factors GCF of 9911 and 9917 is 1

Greatest Common Factor of 9911 and 9917 by matching factors method

Factors of 9911

List of positive integer factors of 9911 that divides 9911 without a remainder.

1,11,17,53,187,583,901,9911

Factors of 9917

List of positive integer factors of 9917 that divides 9917 without a remainder.

1,47,211,9917

Greatest Common Factor

We found the factors and prime factorization of 9911 and 9917. The biggest common factor number is the GCF number.
So the greatest common factor 9911 and 9917 is 1.

Also check out the Least Common Multiple of 9911 and 9917

Properties of GCF 9911 and 9917

(i) The GCF of 9911 and 9917 is associative

GCF of 9911 and 9917 = GCF of 9917 and 9911

Related Greatest Common Factor of 9911

Related Greatest Common Factor of 9917

Frequently Asked Questions on GCF of 9911 and 9917

1. What is the GCF of 9911 and 9917?

Answer: GCF of 9911 and 9917 is 1.

2. What are the Factors of 9911?

Answer: Factors of 9911 are 1, 11, 17, 53, 187, 583, 901, 9911. There are 8 integers that are factors of 9911. The greatest factor of 9911 is 9911.

3. What are the Factors of 9917?

Answer: Factors of 9917 are 1, 47, 211, 9917. There are 4 integers that are factors of 9917. The greatest factor of 9917 is 9917.

4. How to Find the GCF of 9911 and 9917?

Answer:

Greatest Common Factor of 9911 and 9917 = 1

Step 1: Find the prime factorization of 9911

9911 = 11 x 17 x 53

Step 2: Find the prime factorization of 9917

9917 = 47 x 211

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 9911 and 9917 is 1