Greatest Common Factor of 3630 and 3635

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, 3635 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3630 and 3635 is 5.

GCF(3630,3635) = 5

GCF of 3630 and 3635

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

GCF of:
and

Greatest Common Factor of 3630 and 3635

GCF of 3630 and 3635 is 5

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 3635


5 3635
727 727
1

Prime factors of 3635 are 5,727. Prime factorization of 3635 in exponential form is:

3635 = 51×7271

∴ So by taking common prime factors GCF of 3630 and 3635 is 5

Greatest Common Factor of 3630 and 3635 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 3635

List of positive integer factors of 3635 that divides 3635 without a remainder.

1,5,727,3635

Greatest Common Factor

We found the factors and prime factorization of 3630 and 3635. The biggest common factor number is the GCF number.
So the greatest common factor 3630 and 3635 is 5.

Also check out the Least Common Multiple of 3630 and 3635

Properties of GCF 3630 and 3635

(i) The GCF of 3630 and 3635 is associative

GCF of 3630 and 3635 = GCF of 3635 and 3630

Related Greatest Common Factor of 3630

Related Greatest Common Factor of 3635

Frequently Asked Questions on GCF of 3630 and 3635

1. What is the GCF of 3630 and 3635?

Answer: GCF of 3630 and 3635 is 5.

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 3635?

Answer: Factors of 3635 are 1, 5, 727, 3635. There are 4 integers that are factors of 3635. The greatest factor of 3635 is 3635.

4. How to Find the GCF of 3630 and 3635?

Answer:

Greatest Common Factor of 3630 and 3635 = 5

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 3635

3635 = 5 x 727

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

GCF = 5

Step 4: Therefore, the greatest common factor of 3630 and 3635 is 5