Greatest Common Factor of 3627 and 3628

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, 3628 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3627 and 3628 is 1.

GCF(3627,3628) = 1

GCF of 3627 and 3628

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

GCF of:
and

Greatest Common Factor of 3627 and 3628

GCF of 3627 and 3628 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 3628


2 3628
2 1814
907 907
1

Prime factors of 3628 are 2,907. Prime factorization of 3628 in exponential form is:

3628 = 22×9071

∴ So by taking common prime factors GCF of 3627 and 3628 is 1

Greatest Common Factor of 3627 and 3628 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 3628

List of positive integer factors of 3628 that divides 3628 without a remainder.

1,2,4,907,1814,3628

Greatest Common Factor

We found the factors and prime factorization of 3627 and 3628. The biggest common factor number is the GCF number.
So the greatest common factor 3627 and 3628 is 1.

Also check out the Least Common Multiple of 3627 and 3628

Properties of GCF 3627 and 3628

(i) The GCF of 3627 and 3628 is associative

GCF of 3627 and 3628 = GCF of 3628 and 3627

Related Greatest Common Factor of 3627

Related Greatest Common Factor of 3628

Frequently Asked Questions on GCF of 3627 and 3628

1. What is the GCF of 3627 and 3628?

Answer: GCF of 3627 and 3628 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 3628?

Answer: Factors of 3628 are 1, 2, 4, 907, 1814, 3628. There are 6 integers that are factors of 3628. The greatest factor of 3628 is 3628.

4. How to Find the GCF of 3627 and 3628?

Answer:

Greatest Common Factor of 3627 and 3628 = 1

Step 1: Find the prime factorization of 3627

3627 = 3 x 3 x 13 x 31

Step 2: Find the prime factorization of 3628

3628 = 2 x 2 x 907

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 3628 is 1