Greatest Common Factor of 2691 and 2697

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 2691, 2697 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2691 and 2697 is 3.

GCF(2691,2697) = 3

GCF of 2691 and 2697

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

GCF of:
and

Greatest Common Factor of 2691 and 2697

GCF of 2691 and 2697 is 3

Prime Factorization of 2691


3 2691
3 897
13 299
23 23
1

Prime factors of 2691 are 3,13,23. Prime factorization of 2691 in exponential form is:

2691 = 32×131×231

Prime Factorization of 2697


3 2697
29 899
31 31
1

Prime factors of 2697 are 3,29,31. Prime factorization of 2697 in exponential form is:

2697 = 31×291×311

∴ So by taking common prime factors GCF of 2691 and 2697 is 3

Greatest Common Factor of 2691 and 2697 by matching factors method

Factors of 2691

List of positive integer factors of 2691 that divides 2691 without a remainder.

1,3,9,13,23,39,69,117,207,299,897,2691

Factors of 2697

List of positive integer factors of 2697 that divides 2697 without a remainder.

1,3,29,31,87,93,899,2697

Greatest Common Factor

We found the factors and prime factorization of 2691 and 2697. The biggest common factor number is the GCF number.
So the greatest common factor 2691 and 2697 is 3.

Also check out the Least Common Multiple of 2691 and 2697

Properties of GCF 2691 and 2697

(i) The GCF of 2691 and 2697 is associative

GCF of 2691 and 2697 = GCF of 2697 and 2691

Related Greatest Common Factor of 2691

Related Greatest Common Factor of 2697

Frequently Asked Questions on GCF of 2691 and 2697

1. What is the GCF of 2691 and 2697?

Answer: GCF of 2691 and 2697 is 3.

2. What are the Factors of 2691?

Answer: Factors of 2691 are 1, 3, 9, 13, 23, 39, 69, 117, 207, 299, 897, 2691. There are 12 integers that are factors of 2691. The greatest factor of 2691 is 2691.

3. What are the Factors of 2697?

Answer: Factors of 2697 are 1, 3, 29, 31, 87, 93, 899, 2697. There are 8 integers that are factors of 2697. The greatest factor of 2697 is 2697.

4. How to Find the GCF of 2691 and 2697?

Answer:

Greatest Common Factor of 2691 and 2697 = 3

Step 1: Find the prime factorization of 2691

2691 = 3 x 3 x 13 x 23

Step 2: Find the prime factorization of 2697

2697 = 3 x 29 x 31

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 2691 and 2697 is 3