Greatest Common Factor of 3615 and 3621

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 3615, 3621 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3615 and 3621 is 3.

GCF(3615,3621) = 3

GCF of 3615 and 3621

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

GCF of:
and

Greatest Common Factor of 3615 and 3621

GCF of 3615 and 3621 is 3

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

Prime Factorization of 3621


3 3621
17 1207
71 71
1

Prime factors of 3621 are 3,17,71. Prime factorization of 3621 in exponential form is:

3621 = 31×171×711

∴ So by taking common prime factors GCF of 3615 and 3621 is 3

Greatest Common Factor of 3615 and 3621 by matching factors method

Factors of 3615

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

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

Factors of 3621

List of positive integer factors of 3621 that divides 3621 without a remainder.

1,3,17,51,71,213,1207,3621

Greatest Common Factor

We found the factors and prime factorization of 3615 and 3621. The biggest common factor number is the GCF number.
So the greatest common factor 3615 and 3621 is 3.

Also check out the Least Common Multiple of 3615 and 3621

Properties of GCF 3615 and 3621

(i) The GCF of 3615 and 3621 is associative

GCF of 3615 and 3621 = GCF of 3621 and 3615

Related Greatest Common Factor of 3615

Related Greatest Common Factor of 3621

Frequently Asked Questions on GCF of 3615 and 3621

1. What is the GCF of 3615 and 3621?

Answer: GCF of 3615 and 3621 is 3.

2. 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.

3. What are the Factors of 3621?

Answer: Factors of 3621 are 1, 3, 17, 51, 71, 213, 1207, 3621. There are 8 integers that are factors of 3621. The greatest factor of 3621 is 3621.

4. How to Find the GCF of 3615 and 3621?

Answer:

Greatest Common Factor of 3615 and 3621 = 3

Step 1: Find the prime factorization of 3615

3615 = 3 x 5 x 241

Step 2: Find the prime factorization of 3621

3621 = 3 x 17 x 71

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 3615 and 3621 is 3