Greatest Common Factor of 2694 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 2694, 2697 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2694 and 2697 is 3.

GCF(2694,2697) = 3

GCF of 2694 and 2697

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

GCF of:
and

Greatest Common Factor of 2694 and 2697

GCF of 2694 and 2697 is 3

Prime Factorization of 2694


2 2694
3 1347
449 449
1

Prime factors of 2694 are 2,3,449. Prime factorization of 2694 in exponential form is:

2694 = 21×31×4491

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 2694 and 2697 is 3

Greatest Common Factor of 2694 and 2697 by matching factors method

Factors of 2694

List of positive integer factors of 2694 that divides 2694 without a remainder.

1,2,3,6,449,898,1347,2694

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 2694 and 2697. The biggest common factor number is the GCF number.
So the greatest common factor 2694 and 2697 is 3.

Also check out the Least Common Multiple of 2694 and 2697

Properties of GCF 2694 and 2697

(i) The GCF of 2694 and 2697 is associative

GCF of 2694 and 2697 = GCF of 2697 and 2694

Related Greatest Common Factor of 2694

Related Greatest Common Factor of 2697

Frequently Asked Questions on GCF of 2694 and 2697

1. What is the GCF of 2694 and 2697?

Answer: GCF of 2694 and 2697 is 3.

2. What are the Factors of 2694?

Answer: Factors of 2694 are 1, 2, 3, 6, 449, 898, 1347, 2694. There are 8 integers that are factors of 2694. The greatest factor of 2694 is 2694.

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 2694 and 2697?

Answer:

Greatest Common Factor of 2694 and 2697 = 3

Step 1: Find the prime factorization of 2694

2694 = 2 x 3 x 449

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 2694 and 2697 is 3