Greatest Common Factor of 691 and 697

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 691, 697 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 691 and 697 is 1.

GCF(691,697) = 1

GCF of 691 and 697

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

GCF of:
and

Greatest Common Factor of 691 and 697

GCF of 691 and 697 is 1

Prime Factorization of 691


691 691
1

Prime factors of 691 are 691. Prime factorization of 691 in exponential form is:

691 = 6911

Prime Factorization of 697


17 697
41 41
1

Prime factors of 697 are 17.Prime factorization of 697 in exponential form is:

697 = 171×411

∴ So by taking common prime factors GCF of 691 and 697 is 1

Greatest Common Factor of 691 and 697 by matching factors method

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors and prime factorization of 691 and 697. The biggest common factor number is the GCF number.
So the greatest common factor 691 and 697 is 1.

Also check out the Least Common Multiple of 691 and 697

Properties of GCF 691 and 697

(i) The GCF of 691 and 697 is associative

GCF of 691 and 697 = GCF of 697 and 691

Related Greatest Common Factor of 691

Related Greatest Common Factor of 697

Frequently Asked Questions on GCF of 691 and 697

1. What is the GCF of 691 and 697?

Answer: GCF of 691 and 697 is 1.

2. What are the Factors of 691?

Answer: Factors of 691 are 1, 691. There are 2 integers that are factors of 691. The greatest factor of 691 is 691.

3. What are the Factors of 697?

Answer: Factors of 697 are 1, 17, 41, 697. There are 4 integers that are factors of 697. The greatest factor of 697 is 697.

4. How to Find the GCF of 691 and 697?

Answer:

Greatest Common Factor of 691 and 697 = 1

Step 1: Find the prime factorization of 691

691 = 691

Step 2: Find the prime factorization of 697

697 = 17 x 41

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 691 and 697 is 1