Greatest Common Factor of 7908 and 7911

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 7908, 7911 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7908 and 7911 is 3.

GCF(7908,7911) = 3

GCF of 7908 and 7911

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

GCF of:
and

Greatest Common Factor of 7908 and 7911

GCF of 7908 and 7911 is 3

Prime Factorization of 7908


2 7908
2 3954
3 1977
659 659
1

Prime factors of 7908 are 2,3,659. Prime factorization of 7908 in exponential form is:

7908 = 22×31×6591

Prime Factorization of 7911


3 7911
3 2637
3 879
293 293
1

Prime factors of 7911 are 3,293. Prime factorization of 7911 in exponential form is:

7911 = 33×2931

∴ So by taking common prime factors GCF of 7908 and 7911 is 3

Greatest Common Factor of 7908 and 7911 by matching factors method

Factors of 7908

List of positive integer factors of 7908 that divides 7908 without a remainder.

1,2,3,4,6,12,659,1318,1977,2636,3954,7908

Factors of 7911

List of positive integer factors of 7911 that divides 7911 without a remainder.

1,3,9,27,293,879,2637,7911

Greatest Common Factor

We found the factors and prime factorization of 7908 and 7911. The biggest common factor number is the GCF number.
So the greatest common factor 7908 and 7911 is 3.

Also check out the Least Common Multiple of 7908 and 7911

Properties of GCF 7908 and 7911

(i) The GCF of 7908 and 7911 is associative

GCF of 7908 and 7911 = GCF of 7911 and 7908

Related Greatest Common Factor of 7908

Related Greatest Common Factor of 7911

Frequently Asked Questions on GCF of 7908 and 7911

1. What is the GCF of 7908 and 7911?

Answer: GCF of 7908 and 7911 is 3.

2. What are the Factors of 7908?

Answer: Factors of 7908 are 1, 2, 3, 4, 6, 12, 659, 1318, 1977, 2636, 3954, 7908. There are 12 integers that are factors of 7908. The greatest factor of 7908 is 7908.

3. What are the Factors of 7911?

Answer: Factors of 7911 are 1, 3, 9, 27, 293, 879, 2637, 7911. There are 8 integers that are factors of 7911. The greatest factor of 7911 is 7911.

4. How to Find the GCF of 7908 and 7911?

Answer:

Greatest Common Factor of 7908 and 7911 = 3

Step 1: Find the prime factorization of 7908

7908 = 2 x 2 x 3 x 659

Step 2: Find the prime factorization of 7911

7911 = 3 x 3 x 3 x 293

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 7908 and 7911 is 3