Greatest Common Factor of 2991 and 2997

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 2991, 2997 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2991 and 2997 is 3.

GCF(2991,2997) = 3

GCF of 2991 and 2997

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

GCF of:
and

Greatest Common Factor of 2991 and 2997

GCF of 2991 and 2997 is 3

Prime Factorization of 2991


3 2991
997 997
1

Prime factors of 2991 are 3,997. Prime factorization of 2991 in exponential form is:

2991 = 31×9971

Prime Factorization of 2997


3 2997
3 999
3 333
3 111
37 37
1

Prime factors of 2997 are 3,37. Prime factorization of 2997 in exponential form is:

2997 = 34×371

∴ So by taking common prime factors GCF of 2991 and 2997 is 3

Greatest Common Factor of 2991 and 2997 by matching factors method

Factors of 2991

List of positive integer factors of 2991 that divides 2991 without a remainder.

1,3,997,2991

Factors of 2997

List of positive integer factors of 2997 that divides 2997 without a remainder.

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

Greatest Common Factor

We found the factors and prime factorization of 2991 and 2997. The biggest common factor number is the GCF number.
So the greatest common factor 2991 and 2997 is 3.

Also check out the Least Common Multiple of 2991 and 2997

Properties of GCF 2991 and 2997

(i) The GCF of 2991 and 2997 is associative

GCF of 2991 and 2997 = GCF of 2997 and 2991

Related Greatest Common Factor of 2991

Related Greatest Common Factor of 2997

Frequently Asked Questions on GCF of 2991 and 2997

1. What is the GCF of 2991 and 2997?

Answer: GCF of 2991 and 2997 is 3.

2. What are the Factors of 2991?

Answer: Factors of 2991 are 1, 3, 997, 2991. There are 4 integers that are factors of 2991. The greatest factor of 2991 is 2991.

3. What are the Factors of 2997?

Answer: Factors of 2997 are 1, 3, 9, 27, 37, 81, 111, 333, 999, 2997. There are 10 integers that are factors of 2997. The greatest factor of 2997 is 2997.

4. How to Find the GCF of 2991 and 2997?

Answer:

Greatest Common Factor of 2991 and 2997 = 3

Step 1: Find the prime factorization of 2991

2991 = 3 x 997

Step 2: Find the prime factorization of 2997

2997 = 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 = 3

Step 4: Therefore, the greatest common factor of 2991 and 2997 is 3