Greatest Common Factor of 3635 and 3640

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 3635, 3640 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3635 and 3640 is 5.

GCF(3635,3640) = 5

GCF of 3635 and 3640

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

GCF of:
and

Greatest Common Factor of 3635 and 3640

GCF of 3635 and 3640 is 5

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

Prime Factorization of 3640


2 3640
2 1820
2 910
5 455
7 91
13 13
1

Prime factors of 3640 are 2,5,7,13. Prime factorization of 3640 in exponential form is:

3640 = 23×51×71×131

∴ So by taking common prime factors GCF of 3635 and 3640 is 5

Greatest Common Factor of 3635 and 3640 by matching factors method

Factors of 3635

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

1,5,727,3635

Factors of 3640

List of positive integer factors of 3640 that divides 3640 without a remainder.

1,2,4,5,7,8,10,13,14,20,26,28,35,40,52,56,65,70,91,104,130,140,182,260,280,364,455,520,728,910,1820,3640

Greatest Common Factor

We found the factors and prime factorization of 3635 and 3640. The biggest common factor number is the GCF number.
So the greatest common factor 3635 and 3640 is 5.

Also check out the Least Common Multiple of 3635 and 3640

Properties of GCF 3635 and 3640

(i) The GCF of 3635 and 3640 is associative

GCF of 3635 and 3640 = GCF of 3640 and 3635

Related Greatest Common Factor of 3635

Related Greatest Common Factor of 3640

Frequently Asked Questions on GCF of 3635 and 3640

1. What is the GCF of 3635 and 3640?

Answer: GCF of 3635 and 3640 is 5.

2. 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.

3. What are the Factors of 3640?

Answer: Factors of 3640 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640. There are 32 integers that are factors of 3640. The greatest factor of 3640 is 3640.

4. How to Find the GCF of 3635 and 3640?

Answer:

Greatest Common Factor of 3635 and 3640 = 5

Step 1: Find the prime factorization of 3635

3635 = 5 x 727

Step 2: Find the prime factorization of 3640

3640 = 2 x 2 x 2 x 5 x 7 x 13

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 3635 and 3640 is 5