Greatest Common Factor of 2904 and 2910

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 2904, 2910 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2904 and 2910 is 6.

GCF(2904,2910) = 6

GCF of 2904 and 2910

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

GCF of:
and

Greatest Common Factor of 2904 and 2910

GCF of 2904 and 2910 is 6

Prime Factorization of 2904


2 2904
2 1452
2 726
3 363
11 121
11 11
1

Prime factors of 2904 are 2,3,11. Prime factorization of 2904 in exponential form is:

2904 = 23×31×112

Prime Factorization of 2910


2 2910
3 1455
5 485
97 97
1

Prime factors of 2910 are 2,3,5,97. Prime factorization of 2910 in exponential form is:

2910 = 21×31×51×971

∴ So by taking common prime factors GCF of 2904 and 2910 is 6

Greatest Common Factor of 2904 and 2910 by matching factors method

Factors of 2904

List of positive integer factors of 2904 that divides 2904 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,121,132,242,264,363,484,726,968,1452,2904

Factors of 2910

List of positive integer factors of 2910 that divides 2910 without a remainder.

1,2,3,5,6,10,15,30,97,194,291,485,582,970,1455,2910

Greatest Common Factor

We found the factors and prime factorization of 2904 and 2910. The biggest common factor number is the GCF number.
So the greatest common factor 2904 and 2910 is 6.

Also check out the Least Common Multiple of 2904 and 2910

Properties of GCF 2904 and 2910

(i) The GCF of 2904 and 2910 is associative

GCF of 2904 and 2910 = GCF of 2910 and 2904

Related Greatest Common Factor of 2904

Related Greatest Common Factor of 2910

Frequently Asked Questions on GCF of 2904 and 2910

1. What is the GCF of 2904 and 2910?

Answer: GCF of 2904 and 2910 is 6.

2. What are the Factors of 2904?

Answer: Factors of 2904 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 121, 132, 242, 264, 363, 484, 726, 968, 1452, 2904. There are 24 integers that are factors of 2904. The greatest factor of 2904 is 2904.

3. What are the Factors of 2910?

Answer: Factors of 2910 are 1, 2, 3, 5, 6, 10, 15, 30, 97, 194, 291, 485, 582, 970, 1455, 2910. There are 16 integers that are factors of 2910. The greatest factor of 2910 is 2910.

4. How to Find the GCF of 2904 and 2910?

Answer:

Greatest Common Factor of 2904 and 2910 = 6

Step 1: Find the prime factorization of 2904

2904 = 2 x 2 x 2 x 3 x 11 x 11

Step 2: Find the prime factorization of 2910

2910 = 2 x 3 x 5 x 97

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 2904 and 2910 is 6