Greatest Common Factor of 3605 and 3610

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 3605, 3610 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3605 and 3610 is 5.

GCF(3605,3610) = 5

GCF of 3605 and 3610

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

GCF of:
and

Greatest Common Factor of 3605 and 3610

GCF of 3605 and 3610 is 5

Prime Factorization of 3605


5 3605
7 721
103 103
1

Prime factors of 3605 are 5,7,103. Prime factorization of 3605 in exponential form is:

3605 = 51×71×1031

Prime Factorization of 3610


2 3610
5 1805
19 361
19 19
1

Prime factors of 3610 are 2,5,19. Prime factorization of 3610 in exponential form is:

3610 = 21×51×192

∴ So by taking common prime factors GCF of 3605 and 3610 is 5

Greatest Common Factor of 3605 and 3610 by matching factors method

Factors of 3605

List of positive integer factors of 3605 that divides 3605 without a remainder.

1,5,7,35,103,515,721,3605

Factors of 3610

List of positive integer factors of 3610 that divides 3610 without a remainder.

1,2,5,10,19,38,95,190,361,722,1805,3610

Greatest Common Factor

We found the factors and prime factorization of 3605 and 3610. The biggest common factor number is the GCF number.
So the greatest common factor 3605 and 3610 is 5.

Also check out the Least Common Multiple of 3605 and 3610

Properties of GCF 3605 and 3610

(i) The GCF of 3605 and 3610 is associative

GCF of 3605 and 3610 = GCF of 3610 and 3605

Related Greatest Common Factor of 3605

Related Greatest Common Factor of 3610

Frequently Asked Questions on GCF of 3605 and 3610

1. What is the GCF of 3605 and 3610?

Answer: GCF of 3605 and 3610 is 5.

2. What are the Factors of 3605?

Answer: Factors of 3605 are 1, 5, 7, 35, 103, 515, 721, 3605. There are 8 integers that are factors of 3605. The greatest factor of 3605 is 3605.

3. What are the Factors of 3610?

Answer: Factors of 3610 are 1, 2, 5, 10, 19, 38, 95, 190, 361, 722, 1805, 3610. There are 12 integers that are factors of 3610. The greatest factor of 3610 is 3610.

4. How to Find the GCF of 3605 and 3610?

Answer:

Greatest Common Factor of 3605 and 3610 = 5

Step 1: Find the prime factorization of 3605

3605 = 5 x 7 x 103

Step 2: Find the prime factorization of 3610

3610 = 2 x 5 x 19 x 19

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 3605 and 3610 is 5