Greatest Common Factor of 3689 and 3697

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 3689, 3697 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3689 and 3697 is 1.

GCF(3689,3697) = 1

GCF of 3689 and 3697

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

GCF of:
and

Greatest Common Factor of 3689 and 3697

GCF of 3689 and 3697 is 1

Prime Factorization of 3689


7 3689
17 527
31 31
1

Prime factors of 3689 are 7,17,31. Prime factorization of 3689 in exponential form is:

3689 = 71×171×311

Prime Factorization of 3697


3697 3697
1

Prime factors of 3697 are 3697. Prime factorization of 3697 in exponential form is:

3697 = 36971

∴ So by taking common prime factors GCF of 3689 and 3697 is 1

Greatest Common Factor of 3689 and 3697 by matching factors method

Factors of 3689

List of positive integer factors of 3689 that divides 3689 without a remainder.

1,7,17,31,119,217,527,3689

Factors of 3697

List of positive integer factors of 3697 that divides 3697 without a remainder.

1,3697

Greatest Common Factor

We found the factors and prime factorization of 3689 and 3697. The biggest common factor number is the GCF number.
So the greatest common factor 3689 and 3697 is 1.

Also check out the Least Common Multiple of 3689 and 3697

Properties of GCF 3689 and 3697

(i) The GCF of 3689 and 3697 is associative

GCF of 3689 and 3697 = GCF of 3697 and 3689

Related Greatest Common Factor of 3689

Related Greatest Common Factor of 3697

Frequently Asked Questions on GCF of 3689 and 3697

1. What is the GCF of 3689 and 3697?

Answer: GCF of 3689 and 3697 is 1.

2. What are the Factors of 3689?

Answer: Factors of 3689 are 1, 7, 17, 31, 119, 217, 527, 3689. There are 8 integers that are factors of 3689. The greatest factor of 3689 is 3689.

3. What are the Factors of 3697?

Answer: Factors of 3697 are 1, 3697. There are 2 integers that are factors of 3697. The greatest factor of 3697 is 3697.

4. How to Find the GCF of 3689 and 3697?

Answer:

Greatest Common Factor of 3689 and 3697 = 1

Step 1: Find the prime factorization of 3689

3689 = 7 x 17 x 31

Step 2: Find the prime factorization of 3697

3697 = 3697

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 3689 and 3697 is 1