Greatest Common Factor of 689 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 689, 697 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 689 and 697 is 1.

GCF(689,697) = 1

GCF of 689 and 697

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

GCF of:
and

Greatest Common Factor of 689 and 697

GCF of 689 and 697 is 1

Prime Factorization of 689


13 689
53 53
1

Prime factors of 689 are 13,53. Prime factorization of 689 in exponential form is:

689 = 131×531

Prime Factorization of 697


17 697
41 41
1

Prime factors of 697 are 17,41. Prime factorization of 697 in exponential form is:

697 = 171×411

∴ So by taking common prime factors GCF of 689 and 697 is 1

Greatest Common Factor of 689 and 697 by matching factors method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

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 689 and 697. The biggest common factor number is the GCF number.
So the greatest common factor 689 and 697 is 1.

Also check out the Least Common Multiple of 689 and 697

Properties of GCF 689 and 697

(i) The GCF of 689 and 697 is associative

GCF of 689 and 697 = GCF of 697 and 689

Related Greatest Common Factor of 689

Related Greatest Common Factor of 697

Frequently Asked Questions on GCF of 689 and 697

1. What is the GCF of 689 and 697?

Answer: GCF of 689 and 697 is 1.

2. What are the Factors of 689?

Answer: Factors of 689 are 1, 13, 53, 689. There are 4 integers that are factors of 689. The greatest factor of 689 is 689.

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 689 and 697?

Answer:

Greatest Common Factor of 689 and 697 = 1

Step 1: Find the prime factorization of 689

689 = 13 x 53

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 689 and 697 is 1