Greatest Common Factor of 9991 and 9994

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, 9994 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9991 and 9994 is 1.

GCF(9991,9994) = 1

GCF of 9991 and 9994

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

GCF of:
and

Greatest Common Factor of 9991 and 9994

GCF of 9991 and 9994 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 9994


2 9994
19 4997
263 263
1

Prime factors of 9994 are 2,19,263. Prime factorization of 9994 in exponential form is:

9994 = 21×191×2631

∴ So by taking common prime factors GCF of 9991 and 9994 is 1

Greatest Common Factor of 9991 and 9994 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 9994

List of positive integer factors of 9994 that divides 9994 without a remainder.

1,2,19,38,263,526,4997,9994

Greatest Common Factor

We found the factors and prime factorization of 9991 and 9994. The biggest common factor number is the GCF number.
So the greatest common factor 9991 and 9994 is 1.

Also check out the Least Common Multiple of 9991 and 9994

Properties of GCF 9991 and 9994

(i) The GCF of 9991 and 9994 is associative

GCF of 9991 and 9994 = GCF of 9994 and 9991

Related Greatest Common Factor of 9991

Related Greatest Common Factor of 9994

Frequently Asked Questions on GCF of 9991 and 9994

1. What is the GCF of 9991 and 9994?

Answer: GCF of 9991 and 9994 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 9994?

Answer: Factors of 9994 are 1, 2, 19, 38, 263, 526, 4997, 9994. There are 8 integers that are factors of 9994. The greatest factor of 9994 is 9994.

4. How to Find the GCF of 9991 and 9994?

Answer:

Greatest Common Factor of 9991 and 9994 = 1

Step 1: Find the prime factorization of 9991

9991 = 97 x 103

Step 2: Find the prime factorization of 9994

9994 = 2 x 19 x 263

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 9994 is 1