Greatest Common Factor of 3689 and 3695

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, 3695 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3689 and 3695 is 1.

GCF(3689,3695) = 1

GCF of 3689 and 3695

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

GCF of:
and

Greatest Common Factor of 3689 and 3695

GCF of 3689 and 3695 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 3695


5 3695
739 739
1

Prime factors of 3695 are 5,739. Prime factorization of 3695 in exponential form is:

3695 = 51×7391

∴ So by taking common prime factors GCF of 3689 and 3695 is 1

Greatest Common Factor of 3689 and 3695 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 3695

List of positive integer factors of 3695 that divides 3695 without a remainder.

1,5,739,3695

Greatest Common Factor

We found the factors and prime factorization of 3689 and 3695. The biggest common factor number is the GCF number.
So the greatest common factor 3689 and 3695 is 1.

Also check out the Least Common Multiple of 3689 and 3695

Properties of GCF 3689 and 3695

(i) The GCF of 3689 and 3695 is associative

GCF of 3689 and 3695 = GCF of 3695 and 3689

Related Greatest Common Factor of 3689

Related Greatest Common Factor of 3695

Frequently Asked Questions on GCF of 3689 and 3695

1. What is the GCF of 3689 and 3695?

Answer: GCF of 3689 and 3695 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 3695?

Answer: Factors of 3695 are 1, 5, 739, 3695. There are 4 integers that are factors of 3695. The greatest factor of 3695 is 3695.

4. How to Find the GCF of 3689 and 3695?

Answer:

Greatest Common Factor of 3689 and 3695 = 1

Step 1: Find the prime factorization of 3689

3689 = 7 x 17 x 31

Step 2: Find the prime factorization of 3695

3695 = 5 x 739

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 3695 is 1