Greatest Common Factor of 3627 and 3631

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 3627, 3631 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3627 and 3631 is 1.

GCF(3627,3631) = 1

GCF of 3627 and 3631

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

GCF of:
and

Greatest Common Factor of 3627 and 3631

GCF of 3627 and 3631 is 1

Prime Factorization of 3627


3 3627
3 1209
13 403
31 31
1

Prime factors of 3627 are 3,13,31. Prime factorization of 3627 in exponential form is:

3627 = 32×131×311

Prime Factorization of 3631


3631 3631
1

Prime factors of 3631 are 3631. Prime factorization of 3631 in exponential form is:

3631 = 36311

∴ So by taking common prime factors GCF of 3627 and 3631 is 1

Greatest Common Factor of 3627 and 3631 by matching factors method

Factors of 3627

List of positive integer factors of 3627 that divides 3627 without a remainder.

1,3,9,13,31,39,93,117,279,403,1209,3627

Factors of 3631

List of positive integer factors of 3631 that divides 3631 without a remainder.

1,3631

Greatest Common Factor

We found the factors and prime factorization of 3627 and 3631. The biggest common factor number is the GCF number.
So the greatest common factor 3627 and 3631 is 1.

Also check out the Least Common Multiple of 3627 and 3631

Properties of GCF 3627 and 3631

(i) The GCF of 3627 and 3631 is associative

GCF of 3627 and 3631 = GCF of 3631 and 3627

Related Greatest Common Factor of 3627

Related Greatest Common Factor of 3631

Frequently Asked Questions on GCF of 3627 and 3631

1. What is the GCF of 3627 and 3631?

Answer: GCF of 3627 and 3631 is 1.

2. What are the Factors of 3627?

Answer: Factors of 3627 are 1, 3, 9, 13, 31, 39, 93, 117, 279, 403, 1209, 3627. There are 12 integers that are factors of 3627. The greatest factor of 3627 is 3627.

3. What are the Factors of 3631?

Answer: Factors of 3631 are 1, 3631. There are 2 integers that are factors of 3631. The greatest factor of 3631 is 3631.

4. How to Find the GCF of 3627 and 3631?

Answer:

Greatest Common Factor of 3627 and 3631 = 1

Step 1: Find the prime factorization of 3627

3627 = 3 x 3 x 13 x 31

Step 2: Find the prime factorization of 3631

3631 = 3631

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 3627 and 3631 is 1