Greatest Common Factor of 3605 and 3609

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, 3609 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3605 and 3609 is 1.

GCF(3605,3609) = 1

GCF of 3605 and 3609

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

GCF of:
and

Greatest Common Factor of 3605 and 3609

GCF of 3605 and 3609 is 1

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 3609


3 3609
3 1203
401 401
1

Prime factors of 3609 are 3,401. Prime factorization of 3609 in exponential form is:

3609 = 32×4011

∴ So by taking common prime factors GCF of 3605 and 3609 is 1

Greatest Common Factor of 3605 and 3609 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 3609

List of positive integer factors of 3609 that divides 3609 without a remainder.

1,3,9,401,1203,3609

Greatest Common Factor

We found the factors and prime factorization of 3605 and 3609. The biggest common factor number is the GCF number.
So the greatest common factor 3605 and 3609 is 1.

Also check out the Least Common Multiple of 3605 and 3609

Properties of GCF 3605 and 3609

(i) The GCF of 3605 and 3609 is associative

GCF of 3605 and 3609 = GCF of 3609 and 3605

Related Greatest Common Factor of 3605

Related Greatest Common Factor of 3609

Frequently Asked Questions on GCF of 3605 and 3609

1. What is the GCF of 3605 and 3609?

Answer: GCF of 3605 and 3609 is 1.

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 3609?

Answer: Factors of 3609 are 1, 3, 9, 401, 1203, 3609. There are 6 integers that are factors of 3609. The greatest factor of 3609 is 3609.

4. How to Find the GCF of 3605 and 3609?

Answer:

Greatest Common Factor of 3605 and 3609 = 1

Step 1: Find the prime factorization of 3605

3605 = 5 x 7 x 103

Step 2: Find the prime factorization of 3609

3609 = 3 x 3 x 401

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3605 and 3609 is 1