Greatest Common Factor of 3608 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 3608, 3615 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3608 and 3615 is 1.

GCF(3608,3615) = 1

GCF of 3608 and 3615

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

GCF of:
and

Greatest Common Factor of 3608 and 3615

GCF of 3608 and 3615 is 1

Prime Factorization of 3608


2 3608
2 1804
2 902
11 451
41 41
1

Prime factors of 3608 are 2,11,41. Prime factorization of 3608 in exponential form is:

3608 = 23×111×411

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 3608 and 3615 is 1

Greatest Common Factor of 3608 and 3615 by matching factors method

Factors of 3608

List of positive integer factors of 3608 that divides 3608 without a remainder.

1,2,4,8,11,22,41,44,82,88,164,328,451,902,1804,3608

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 3608 and 3615. The biggest common factor number is the GCF number.
So the greatest common factor 3608 and 3615 is 1.

Also check out the Least Common Multiple of 3608 and 3615

Properties of GCF 3608 and 3615

(i) The GCF of 3608 and 3615 is associative

GCF of 3608 and 3615 = GCF of 3615 and 3608

Related Greatest Common Factor of 3608

Related Greatest Common Factor of 3615

Frequently Asked Questions on GCF of 3608 and 3615

1. What is the GCF of 3608 and 3615?

Answer: GCF of 3608 and 3615 is 1.

2. What are the Factors of 3608?

Answer: Factors of 3608 are 1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608. There are 16 integers that are factors of 3608. The greatest factor of 3608 is 3608.

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 3608 and 3615?

Answer:

Greatest Common Factor of 3608 and 3615 = 1

Step 1: Find the prime factorization of 3608

3608 = 2 x 2 x 2 x 11 x 41

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 = = 1

Step 4: Therefore, the greatest common factor of 3608 and 3615 is 1