Greatest Common Factor of 8986 and 8991

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 8986, 8991 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8986 and 8991 is 1.

GCF(8986,8991) = 1

GCF of 8986 and 8991

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

GCF of:
and

Greatest Common Factor of 8986 and 8991

GCF of 8986 and 8991 is 1

Prime Factorization of 8986


2 8986
4493 4493
1

Prime factors of 8986 are 2,4493. Prime factorization of 8986 in exponential form is:

8986 = 21×44931

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

∴ So by taking common prime factors GCF of 8986 and 8991 is 1

Greatest Common Factor of 8986 and 8991 by matching factors method

Factors of 8986

List of positive integer factors of 8986 that divides 8986 without a remainder.

1,2,4493,8986

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

Greatest Common Factor

We found the factors and prime factorization of 8986 and 8991. The biggest common factor number is the GCF number.
So the greatest common factor 8986 and 8991 is 1.

Also check out the Least Common Multiple of 8986 and 8991

Properties of GCF 8986 and 8991

(i) The GCF of 8986 and 8991 is associative

GCF of 8986 and 8991 = GCF of 8991 and 8986

Related Greatest Common Factor of 8986

Related Greatest Common Factor of 8991

Frequently Asked Questions on GCF of 8986 and 8991

1. What is the GCF of 8986 and 8991?

Answer: GCF of 8986 and 8991 is 1.

2. What are the Factors of 8986?

Answer: Factors of 8986 are 1, 2, 4493, 8986. There are 4 integers that are factors of 8986. The greatest factor of 8986 is 8986.

3. 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.

4. How to Find the GCF of 8986 and 8991?

Answer:

Greatest Common Factor of 8986 and 8991 = 1

Step 1: Find the prime factorization of 8986

8986 = 2 x 4493

Step 2: Find the prime factorization of 8991

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

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 8986 and 8991 is 1