Greatest Common Factor of 5691 and 5697

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 5691, 5697 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5691 and 5697 is 3.

GCF(5691,5697) = 3

GCF of 5691 and 5697

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

GCF of:
and

Greatest Common Factor of 5691 and 5697

GCF of 5691 and 5697 is 3

Prime Factorization of 5691


3 5691
7 1897
271 271
1

Prime factors of 5691 are 3,7,271. Prime factorization of 5691 in exponential form is:

5691 = 31×71×2711

Prime Factorization of 5697


3 5697
3 1899
3 633
211 211
1

Prime factors of 5697 are 3,211. Prime factorization of 5697 in exponential form is:

5697 = 33×2111

∴ So by taking common prime factors GCF of 5691 and 5697 is 3

Greatest Common Factor of 5691 and 5697 by matching factors method

Factors of 5691

List of positive integer factors of 5691 that divides 5691 without a remainder.

1,3,7,21,271,813,1897,5691

Factors of 5697

List of positive integer factors of 5697 that divides 5697 without a remainder.

1,3,9,27,211,633,1899,5697

Greatest Common Factor

We found the factors and prime factorization of 5691 and 5697. The biggest common factor number is the GCF number.
So the greatest common factor 5691 and 5697 is 3.

Also check out the Least Common Multiple of 5691 and 5697

Properties of GCF 5691 and 5697

(i) The GCF of 5691 and 5697 is associative

GCF of 5691 and 5697 = GCF of 5697 and 5691

Related Greatest Common Factor of 5691

Related Greatest Common Factor of 5697

Frequently Asked Questions on GCF of 5691 and 5697

1. What is the GCF of 5691 and 5697?

Answer: GCF of 5691 and 5697 is 3.

2. What are the Factors of 5691?

Answer: Factors of 5691 are 1, 3, 7, 21, 271, 813, 1897, 5691. There are 8 integers that are factors of 5691. The greatest factor of 5691 is 5691.

3. What are the Factors of 5697?

Answer: Factors of 5697 are 1, 3, 9, 27, 211, 633, 1899, 5697. There are 8 integers that are factors of 5697. The greatest factor of 5697 is 5697.

4. How to Find the GCF of 5691 and 5697?

Answer:

Greatest Common Factor of 5691 and 5697 = 3

Step 1: Find the prime factorization of 5691

5691 = 3 x 7 x 271

Step 2: Find the prime factorization of 5697

5697 = 3 x 3 x 3 x 211

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 5691 and 5697 is 3