Greatest Common Factor of 3915 and 3918

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 3915, 3918 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3915 and 3918 is 3.

GCF(3915,3918) = 3

GCF of 3915 and 3918

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

GCF of:
and

Greatest Common Factor of 3915 and 3918

GCF of 3915 and 3918 is 3

Prime Factorization of 3915


3 3915
3 1305
3 435
5 145
29 29
1

Prime factors of 3915 are 3,5,29. Prime factorization of 3915 in exponential form is:

3915 = 33×51×291

Prime Factorization of 3918


2 3918
3 1959
653 653
1

Prime factors of 3918 are 2,3,653. Prime factorization of 3918 in exponential form is:

3918 = 21×31×6531

∴ So by taking common prime factors GCF of 3915 and 3918 is 3

Greatest Common Factor of 3915 and 3918 by matching factors method

Factors of 3915

List of positive integer factors of 3915 that divides 3915 without a remainder.

1,3,5,9,15,27,29,45,87,135,145,261,435,783,1305,3915

Factors of 3918

List of positive integer factors of 3918 that divides 3918 without a remainder.

1,2,3,6,653,1306,1959,3918

Greatest Common Factor

We found the factors and prime factorization of 3915 and 3918. The biggest common factor number is the GCF number.
So the greatest common factor 3915 and 3918 is 3.

Also check out the Least Common Multiple of 3915 and 3918

Properties of GCF 3915 and 3918

(i) The GCF of 3915 and 3918 is associative

GCF of 3915 and 3918 = GCF of 3918 and 3915

Related Greatest Common Factor of 3915

Related Greatest Common Factor of 3918

Frequently Asked Questions on GCF of 3915 and 3918

1. What is the GCF of 3915 and 3918?

Answer: GCF of 3915 and 3918 is 3.

2. What are the Factors of 3915?

Answer: Factors of 3915 are 1, 3, 5, 9, 15, 27, 29, 45, 87, 135, 145, 261, 435, 783, 1305, 3915. There are 16 integers that are factors of 3915. The greatest factor of 3915 is 3915.

3. What are the Factors of 3918?

Answer: Factors of 3918 are 1, 2, 3, 6, 653, 1306, 1959, 3918. There are 8 integers that are factors of 3918. The greatest factor of 3918 is 3918.

4. How to Find the GCF of 3915 and 3918?

Answer:

Greatest Common Factor of 3915 and 3918 = 3

Step 1: Find the prime factorization of 3915

3915 = 3 x 3 x 3 x 5 x 29

Step 2: Find the prime factorization of 3918

3918 = 2 x 3 x 653

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 3915 and 3918 is 3