Greatest Common Factor of 3687 and 3691

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 3687, 3691 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3687 and 3691 is 1.

GCF(3687,3691) = 1

GCF of 3687 and 3691

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

GCF of:
and

Greatest Common Factor of 3687 and 3691

GCF of 3687 and 3691 is 1

Prime Factorization of 3687


3 3687
1229 1229
1

Prime factors of 3687 are 3,1229. Prime factorization of 3687 in exponential form is:

3687 = 31×12291

Prime Factorization of 3691


3691 3691
1

Prime factors of 3691 are 3691. Prime factorization of 3691 in exponential form is:

3691 = 36911

∴ So by taking common prime factors GCF of 3687 and 3691 is 1

Greatest Common Factor of 3687 and 3691 by matching factors method

Factors of 3687

List of positive integer factors of 3687 that divides 3687 without a remainder.

1,3,1229,3687

Factors of 3691

List of positive integer factors of 3691 that divides 3691 without a remainder.

1,3691

Greatest Common Factor

We found the factors and prime factorization of 3687 and 3691. The biggest common factor number is the GCF number.
So the greatest common factor 3687 and 3691 is 1.

Also check out the Least Common Multiple of 3687 and 3691

Properties of GCF 3687 and 3691

(i) The GCF of 3687 and 3691 is associative

GCF of 3687 and 3691 = GCF of 3691 and 3687

Related Greatest Common Factor of 3687

Related Greatest Common Factor of 3691

Frequently Asked Questions on GCF of 3687 and 3691

1. What is the GCF of 3687 and 3691?

Answer: GCF of 3687 and 3691 is 1.

2. What are the Factors of 3687?

Answer: Factors of 3687 are 1, 3, 1229, 3687. There are 4 integers that are factors of 3687. The greatest factor of 3687 is 3687.

3. What are the Factors of 3691?

Answer: Factors of 3691 are 1, 3691. There are 2 integers that are factors of 3691. The greatest factor of 3691 is 3691.

4. How to Find the GCF of 3687 and 3691?

Answer:

Greatest Common Factor of 3687 and 3691 = 1

Step 1: Find the prime factorization of 3687

3687 = 3 x 1229

Step 2: Find the prime factorization of 3691

3691 = 3691

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 3687 and 3691 is 1