Greatest Common Factor of 9997 and 9999

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 9997, 9999 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9997 and 9999 is 1.

GCF(9997,9999) = 1

GCF of 9997 and 9999

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

GCF of:
and

Greatest Common Factor of 9997 and 9999

GCF of 9997 and 9999 is 1

Prime Factorization of 9997


13 9997
769 769
1

Prime factors of 9997 are 13,769. Prime factorization of 9997 in exponential form is:

9997 = 131×7691

Prime Factorization of 9999


3 9999
3 3333
11 1111
101 101
1

Prime factors of 9999 are 3,11,101. Prime factorization of 9999 in exponential form is:

9999 = 32×111×1011

∴ So by taking common prime factors GCF of 9997 and 9999 is 1

Greatest Common Factor of 9997 and 9999 by matching factors method

Factors of 9997

List of positive integer factors of 9997 that divides 9997 without a remainder.

1,13,769,9997

Factors of 9999

List of positive integer factors of 9999 that divides 9999 without a remainder.

1,3,9,11,33,99,101,303,909,1111,3333,9999

Greatest Common Factor

We found the factors and prime factorization of 9997 and 9999. The biggest common factor number is the GCF number.
So the greatest common factor 9997 and 9999 is 1.

Also check out the Least Common Multiple of 9997 and 9999

Properties of GCF 9997 and 9999

(i) The GCF of 9997 and 9999 is associative

GCF of 9997 and 9999 = GCF of 9999 and 9997

Related Greatest Common Factor of 9997

Related Greatest Common Factor of 9999

Frequently Asked Questions on GCF of 9997 and 9999

1. What is the GCF of 9997 and 9999?

Answer: GCF of 9997 and 9999 is 1.

2. What are the Factors of 9997?

Answer: Factors of 9997 are 1, 13, 769, 9997. There are 4 integers that are factors of 9997. The greatest factor of 9997 is 9997.

3. What are the Factors of 9999?

Answer: Factors of 9999 are 1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999. There are 12 integers that are factors of 9999. The greatest factor of 9999 is 9999.

4. How to Find the GCF of 9997 and 9999?

Answer:

Greatest Common Factor of 9997 and 9999 = 1

Step 1: Find the prime factorization of 9997

9997 = 13 x 769

Step 2: Find the prime factorization of 9999

9999 = 3 x 3 x 11 x 101

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 9997 and 9999 is 1