Greatest Common Factor of 2916 and 2924

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 2916, 2924 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2916 and 2924 is 4.

GCF(2916,2924) = 4

GCF of 2916 and 2924

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

GCF of:
and

Greatest Common Factor of 2916 and 2924

GCF of 2916 and 2924 is 4

Prime Factorization of 2916


2 2916
2 1458
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 2916 are 2,3. Prime factorization of 2916 in exponential form is:

2916 = 22×36

Prime Factorization of 2924


2 2924
2 1462
17 731
43 43
1

Prime factors of 2924 are 2,17,43. Prime factorization of 2924 in exponential form is:

2924 = 22×171×431

∴ So by taking common prime factors GCF of 2916 and 2924 is 4

Greatest Common Factor of 2916 and 2924 by matching factors method

Factors of 2916

List of positive integer factors of 2916 that divides 2916 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,729,972,1458,2916

Factors of 2924

List of positive integer factors of 2924 that divides 2924 without a remainder.

1,2,4,17,34,43,68,86,172,731,1462,2924

Greatest Common Factor

We found the factors and prime factorization of 2916 and 2924. The biggest common factor number is the GCF number.
So the greatest common factor 2916 and 2924 is 4.

Also check out the Least Common Multiple of 2916 and 2924

Properties of GCF 2916 and 2924

(i) The GCF of 2916 and 2924 is associative

GCF of 2916 and 2924 = GCF of 2924 and 2916

Related Greatest Common Factor of 2916

Related Greatest Common Factor of 2924

Frequently Asked Questions on GCF of 2916 and 2924

1. What is the GCF of 2916 and 2924?

Answer: GCF of 2916 and 2924 is 4.

2. What are the Factors of 2916?

Answer: Factors of 2916 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2916. There are 21 integers that are factors of 2916. The greatest factor of 2916 is 2916.

3. What are the Factors of 2924?

Answer: Factors of 2924 are 1, 2, 4, 17, 34, 43, 68, 86, 172, 731, 1462, 2924. There are 12 integers that are factors of 2924. The greatest factor of 2924 is 2924.

4. How to Find the GCF of 2916 and 2924?

Answer:

Greatest Common Factor of 2916 and 2924 = 4

Step 1: Find the prime factorization of 2916

2916 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 2924

2924 = 2 x 2 x 17 x 43

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 2916 and 2924 is 4