Greatest Common Factor of 3689 and 3693

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, 3693 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3689 and 3693 is 1.

GCF(3689,3693) = 1

GCF of 3689 and 3693

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

GCF of:
and

Greatest Common Factor of 3689 and 3693

GCF of 3689 and 3693 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 3693


3 3693
1231 1231
1

Prime factors of 3693 are 3,1231. Prime factorization of 3693 in exponential form is:

3693 = 31×12311

∴ So by taking common prime factors GCF of 3689 and 3693 is 1

Greatest Common Factor of 3689 and 3693 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 3693

List of positive integer factors of 3693 that divides 3693 without a remainder.

1,3,1231,3693

Greatest Common Factor

We found the factors and prime factorization of 3689 and 3693. The biggest common factor number is the GCF number.
So the greatest common factor 3689 and 3693 is 1.

Also check out the Least Common Multiple of 3689 and 3693

Properties of GCF 3689 and 3693

(i) The GCF of 3689 and 3693 is associative

GCF of 3689 and 3693 = GCF of 3693 and 3689

Related Greatest Common Factor of 3689

Related Greatest Common Factor of 3693

Frequently Asked Questions on GCF of 3689 and 3693

1. What is the GCF of 3689 and 3693?

Answer: GCF of 3689 and 3693 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 3693?

Answer: Factors of 3693 are 1, 3, 1231, 3693. There are 4 integers that are factors of 3693. The greatest factor of 3693 is 3693.

4. How to Find the GCF of 3689 and 3693?

Answer:

Greatest Common Factor of 3689 and 3693 = 1

Step 1: Find the prime factorization of 3689

3689 = 7 x 17 x 31

Step 2: Find the prime factorization of 3693

3693 = 3 x 1231

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 3693 is 1