Greatest Common Factor of 9991 and 9996

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, 9996 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9991 and 9996 is 1.

GCF(9991,9996) = 1

GCF of 9991 and 9996

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

GCF of:
and

Greatest Common Factor of 9991 and 9996

GCF of 9991 and 9996 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 9996


2 9996
2 4998
3 2499
7 833
7 119
17 17
1

Prime factors of 9996 are 2,3,7,17. Prime factorization of 9996 in exponential form is:

9996 = 22×31×72×171

∴ So by taking common prime factors GCF of 9991 and 9996 is 1

Greatest Common Factor of 9991 and 9996 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 9996

List of positive integer factors of 9996 that divides 9996 without a remainder.

1,2,3,4,6,7,12,14,17,21,28,34,42,49,51,68,84,98,102,119,147,196,204,238,294,357,476,588,714,833,1428,1666,2499,3332,4998,9996

Greatest Common Factor

We found the factors and prime factorization of 9991 and 9996. The biggest common factor number is the GCF number.
So the greatest common factor 9991 and 9996 is 1.

Also check out the Least Common Multiple of 9991 and 9996

Properties of GCF 9991 and 9996

(i) The GCF of 9991 and 9996 is associative

GCF of 9991 and 9996 = GCF of 9996 and 9991

Related Greatest Common Factor of 9991

Related Greatest Common Factor of 9996

Frequently Asked Questions on GCF of 9991 and 9996

1. What is the GCF of 9991 and 9996?

Answer: GCF of 9991 and 9996 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 9996?

Answer: Factors of 9996 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996. There are 36 integers that are factors of 9996. The greatest factor of 9996 is 9996.

4. How to Find the GCF of 9991 and 9996?

Answer:

Greatest Common Factor of 9991 and 9996 = 1

Step 1: Find the prime factorization of 9991

9991 = 97 x 103

Step 2: Find the prime factorization of 9996

9996 = 2 x 2 x 3 x 7 x 7 x 17

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 9996 is 1