Greatest Common Factor of 8991 and 8994

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, 8994 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8991 and 8994 is 3.

GCF(8991,8994) = 3

GCF of 8991 and 8994

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

GCF of:
and

Greatest Common Factor of 8991 and 8994

GCF of 8991 and 8994 is 3

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 8994


2 8994
3 4497
1499 1499
1

Prime factors of 8994 are 2,3,1499. Prime factorization of 8994 in exponential form is:

8994 = 21×31×14991

∴ So by taking common prime factors GCF of 8991 and 8994 is 3

Greatest Common Factor of 8991 and 8994 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 8994

List of positive integer factors of 8994 that divides 8994 without a remainder.

1,2,3,6,1499,2998,4497,8994

Greatest Common Factor

We found the factors and prime factorization of 8991 and 8994. The biggest common factor number is the GCF number.
So the greatest common factor 8991 and 8994 is 3.

Also check out the Least Common Multiple of 8991 and 8994

Properties of GCF 8991 and 8994

(i) The GCF of 8991 and 8994 is associative

GCF of 8991 and 8994 = GCF of 8994 and 8991

Related Greatest Common Factor of 8991

Related Greatest Common Factor of 8994

Frequently Asked Questions on GCF of 8991 and 8994

1. What is the GCF of 8991 and 8994?

Answer: GCF of 8991 and 8994 is 3.

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 8994?

Answer: Factors of 8994 are 1, 2, 3, 6, 1499, 2998, 4497, 8994. There are 8 integers that are factors of 8994. The greatest factor of 8994 is 8994.

4. How to Find the GCF of 8991 and 8994?

Answer:

Greatest Common Factor of 8991 and 8994 = 3

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 8994

8994 = 2 x 3 x 1499

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 8991 and 8994 is 3