Greatest Common Factor of 9991 and 9993

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 9991, 9993 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9991 and 9993 is 1.

GCF(9991,9993) = 1

GCF of 9991 and 9993

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

GCF of:
and

Greatest Common Factor of 9991 and 9993

GCF of 9991 and 9993 is 1

Prime Factorization of 9991


97 9991
103 103
1

Prime factors of 9991 are 97,103. Prime factorization of 9991 in exponential form is:

9991 = 971×1031

Prime Factorization of 9993


3 9993
3331 3331
1

Prime factors of 9993 are 3,3331. Prime factorization of 9993 in exponential form is:

9993 = 31×33311

∴ So by taking common prime factors GCF of 9991 and 9993 is 1

Greatest Common Factor of 9991 and 9993 by matching factors method

Factors of 9991

List of positive integer factors of 9991 that divides 9991 without a remainder.

1,97,103,9991

Factors of 9993

List of positive integer factors of 9993 that divides 9993 without a remainder.

1,3,3331,9993

Greatest Common Factor

We found the factors and prime factorization of 9991 and 9993. The biggest common factor number is the GCF number.
So the greatest common factor 9991 and 9993 is 1.

Also check out the Least Common Multiple of 9991 and 9993

Properties of GCF 9991 and 9993

(i) The GCF of 9991 and 9993 is associative

GCF of 9991 and 9993 = GCF of 9993 and 9991

Related Greatest Common Factor of 9991

Related Greatest Common Factor of 9993

Frequently Asked Questions on GCF of 9991 and 9993

1. What is the GCF of 9991 and 9993?

Answer: GCF of 9991 and 9993 is 1.

2. What are the Factors of 9991?

Answer: Factors of 9991 are 1, 97, 103, 9991. There are 4 integers that are factors of 9991. The greatest factor of 9991 is 9991.

3. What are the Factors of 9993?

Answer: Factors of 9993 are 1, 3, 3331, 9993. There are 4 integers that are factors of 9993. The greatest factor of 9993 is 9993.

4. How to Find the GCF of 9991 and 9993?

Answer:

Greatest Common Factor of 9991 and 9993 = 1

Step 1: Find the prime factorization of 9991

9991 = 97 x 103

Step 2: Find the prime factorization of 9993

9993 = 3 x 3331

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 9991 and 9993 is 1