Greatest Common Factor of 3609 and 3615

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 3609, 3615 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3609 and 3615 is 3.

GCF(3609,3615) = 3

GCF of 3609 and 3615

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

GCF of:
and

Greatest Common Factor of 3609 and 3615

GCF of 3609 and 3615 is 3

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

Prime Factorization of 3615


3 3615
5 1205
241 241
1

Prime factors of 3615 are 3,5,241. Prime factorization of 3615 in exponential form is:

3615 = 31×51×2411

∴ So by taking common prime factors GCF of 3609 and 3615 is 3

Greatest Common Factor of 3609 and 3615 by matching factors method

Factors of 3609

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

1,3,9,401,1203,3609

Factors of 3615

List of positive integer factors of 3615 that divides 3615 without a remainder.

1,3,5,15,241,723,1205,3615

Greatest Common Factor

We found the factors and prime factorization of 3609 and 3615. The biggest common factor number is the GCF number.
So the greatest common factor 3609 and 3615 is 3.

Also check out the Least Common Multiple of 3609 and 3615

Properties of GCF 3609 and 3615

(i) The GCF of 3609 and 3615 is associative

GCF of 3609 and 3615 = GCF of 3615 and 3609

Related Greatest Common Factor of 3609

Related Greatest Common Factor of 3615

Frequently Asked Questions on GCF of 3609 and 3615

1. What is the GCF of 3609 and 3615?

Answer: GCF of 3609 and 3615 is 3.

2. 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.

3. What are the Factors of 3615?

Answer: Factors of 3615 are 1, 3, 5, 15, 241, 723, 1205, 3615. There are 8 integers that are factors of 3615. The greatest factor of 3615 is 3615.

4. How to Find the GCF of 3609 and 3615?

Answer:

Greatest Common Factor of 3609 and 3615 = 3

Step 1: Find the prime factorization of 3609

3609 = 3 x 3 x 401

Step 2: Find the prime factorization of 3615

3615 = 3 x 5 x 241

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 3609 and 3615 is 3