Greatest Common Factor of 3630 and 3633

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 3630, 3633 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3630 and 3633 is 3.

GCF(3630,3633) = 3

GCF of 3630 and 3633

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

GCF of:
and

Greatest Common Factor of 3630 and 3633

GCF of 3630 and 3633 is 3

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

Prime Factorization of 3633


3 3633
7 1211
173 173
1

Prime factors of 3633 are 3,7,173. Prime factorization of 3633 in exponential form is:

3633 = 31×71×1731

∴ So by taking common prime factors GCF of 3630 and 3633 is 3

Greatest Common Factor of 3630 and 3633 by matching factors method

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

Factors of 3633

List of positive integer factors of 3633 that divides 3633 without a remainder.

1,3,7,21,173,519,1211,3633

Greatest Common Factor

We found the factors and prime factorization of 3630 and 3633. The biggest common factor number is the GCF number.
So the greatest common factor 3630 and 3633 is 3.

Also check out the Least Common Multiple of 3630 and 3633

Properties of GCF 3630 and 3633

(i) The GCF of 3630 and 3633 is associative

GCF of 3630 and 3633 = GCF of 3633 and 3630

Related Greatest Common Factor of 3630

Related Greatest Common Factor of 3633

Frequently Asked Questions on GCF of 3630 and 3633

1. What is the GCF of 3630 and 3633?

Answer: GCF of 3630 and 3633 is 3.

2. 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.

3. What are the Factors of 3633?

Answer: Factors of 3633 are 1, 3, 7, 21, 173, 519, 1211, 3633. There are 8 integers that are factors of 3633. The greatest factor of 3633 is 3633.

4. How to Find the GCF of 3630 and 3633?

Answer:

Greatest Common Factor of 3630 and 3633 = 3

Step 1: Find the prime factorization of 3630

3630 = 2 x 3 x 5 x 11 x 11

Step 2: Find the prime factorization of 3633

3633 = 3 x 7 x 173

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 3630 and 3633 is 3