Greatest Common Factor of 3624 and 3627

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 3624, 3627 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3624 and 3627 is 3.

GCF(3624,3627) = 3

GCF of 3624 and 3627

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

GCF of:
and

Greatest Common Factor of 3624 and 3627

GCF of 3624 and 3627 is 3

Prime Factorization of 3624


2 3624
2 1812
2 906
3 453
151 151
1

Prime factors of 3624 are 2,3,151. Prime factorization of 3624 in exponential form is:

3624 = 23×31×1511

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

∴ So by taking common prime factors GCF of 3624 and 3627 is 3

Greatest Common Factor of 3624 and 3627 by matching factors method

Factors of 3624

List of positive integer factors of 3624 that divides 3624 without a remainder.

1,2,3,4,6,8,12,24,151,302,453,604,906,1208,1812,3624

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

Greatest Common Factor

We found the factors and prime factorization of 3624 and 3627. The biggest common factor number is the GCF number.
So the greatest common factor 3624 and 3627 is 3.

Also check out the Least Common Multiple of 3624 and 3627

Properties of GCF 3624 and 3627

(i) The GCF of 3624 and 3627 is associative

GCF of 3624 and 3627 = GCF of 3627 and 3624

Related Greatest Common Factor of 3624

Related Greatest Common Factor of 3627

Frequently Asked Questions on GCF of 3624 and 3627

1. What is the GCF of 3624 and 3627?

Answer: GCF of 3624 and 3627 is 3.

2. What are the Factors of 3624?

Answer: Factors of 3624 are 1, 2, 3, 4, 6, 8, 12, 24, 151, 302, 453, 604, 906, 1208, 1812, 3624. There are 16 integers that are factors of 3624. The greatest factor of 3624 is 3624.

3. 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.

4. How to Find the GCF of 3624 and 3627?

Answer:

Greatest Common Factor of 3624 and 3627 = 3

Step 1: Find the prime factorization of 3624

3624 = 2 x 2 x 2 x 3 x 151

Step 2: Find the prime factorization of 3627

3627 = 3 x 3 x 13 x 31

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 3624 and 3627 is 3