Greatest Common Factor of 3624 and 3630

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, 3630 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3624 and 3630 is 6.

GCF(3624,3630) = 6

GCF of 3624 and 3630

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

GCF of:
and

Greatest Common Factor of 3624 and 3630

GCF of 3624 and 3630 is 6

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 3630


2 3630
3 1815
5 605
11 121
11 11
1

Prime factors of 3630 are 2,3,5,11. Prime factorization of 3630 in exponential form is:

3630 = 21×31×51×112

∴ So by taking common prime factors GCF of 3624 and 3630 is 6

Greatest Common Factor of 3624 and 3630 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 3630

List of positive integer factors of 3630 that divides 3630 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,121,165,242,330,363,605,726,1210,1815,3630

Greatest Common Factor

We found the factors and prime factorization of 3624 and 3630. The biggest common factor number is the GCF number.
So the greatest common factor 3624 and 3630 is 6.

Also check out the Least Common Multiple of 3624 and 3630

Properties of GCF 3624 and 3630

(i) The GCF of 3624 and 3630 is associative

GCF of 3624 and 3630 = GCF of 3630 and 3624

Related Greatest Common Factor of 3624

Related Greatest Common Factor of 3630

Frequently Asked Questions on GCF of 3624 and 3630

1. What is the GCF of 3624 and 3630?

Answer: GCF of 3624 and 3630 is 6.

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 3630?

Answer: Factors of 3630 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815, 3630. There are 24 integers that are factors of 3630. The greatest factor of 3630 is 3630.

4. How to Find the GCF of 3624 and 3630?

Answer:

Greatest Common Factor of 3624 and 3630 = 6

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 3630

3630 = 2 x 3 x 5 x 11 x 11

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3624 and 3630 is 6