Greatest Common Factor of 8991 and 8993

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 8991, 8993 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8991 and 8993 is 1.

GCF(8991,8993) = 1

GCF of 8991 and 8993

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

GCF of:
and

Greatest Common Factor of 8991 and 8993

GCF of 8991 and 8993 is 1

Prime Factorization of 8991


3 8991
3 2997
3 999
3 333
3 111
37 37
1

Prime factors of 8991 are 3,37. Prime factorization of 8991 in exponential form is:

8991 = 35×371

Prime Factorization of 8993


17 8993
23 529
23 23
1

Prime factors of 8993 are 17,23. Prime factorization of 8993 in exponential form is:

8993 = 171×232

∴ So by taking common prime factors GCF of 8991 and 8993 is 1

Greatest Common Factor of 8991 and 8993 by matching factors method

Factors of 8991

List of positive integer factors of 8991 that divides 8991 without a remainder.

1,3,9,27,37,81,111,243,333,999,2997,8991

Factors of 8993

List of positive integer factors of 8993 that divides 8993 without a remainder.

1,17,23,391,529,8993

Greatest Common Factor

We found the factors and prime factorization of 8991 and 8993. The biggest common factor number is the GCF number.
So the greatest common factor 8991 and 8993 is 1.

Also check out the Least Common Multiple of 8991 and 8993

Properties of GCF 8991 and 8993

(i) The GCF of 8991 and 8993 is associative

GCF of 8991 and 8993 = GCF of 8993 and 8991

Related Greatest Common Factor of 8991

Related Greatest Common Factor of 8993

Frequently Asked Questions on GCF of 8991 and 8993

1. What is the GCF of 8991 and 8993?

Answer: GCF of 8991 and 8993 is 1.

2. What are the Factors of 8991?

Answer: Factors of 8991 are 1, 3, 9, 27, 37, 81, 111, 243, 333, 999, 2997, 8991. There are 12 integers that are factors of 8991. The greatest factor of 8991 is 8991.

3. What are the Factors of 8993?

Answer: Factors of 8993 are 1, 17, 23, 391, 529, 8993. There are 6 integers that are factors of 8993. The greatest factor of 8993 is 8993.

4. How to Find the GCF of 8991 and 8993?

Answer:

Greatest Common Factor of 8991 and 8993 = 1

Step 1: Find the prime factorization of 8991

8991 = 3 x 3 x 3 x 3 x 3 x 37

Step 2: Find the prime factorization of 8993

8993 = 17 x 23 x 23

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 8991 and 8993 is 1