Greatest Common Factor of 2916 and 2923

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, 2923 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2916 and 2923 is 1.

GCF(2916,2923) = 1

GCF of 2916 and 2923

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

GCF of:
and

Greatest Common Factor of 2916 and 2923

GCF of 2916 and 2923 is 1

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 2923


37 2923
79 79
1

Prime factors of 2923 are 37,79. Prime factorization of 2923 in exponential form is:

2923 = 371×791

∴ So by taking common prime factors GCF of 2916 and 2923 is 1

Greatest Common Factor of 2916 and 2923 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 2923

List of positive integer factors of 2923 that divides 2923 without a remainder.

1,37,79,2923

Greatest Common Factor

We found the factors and prime factorization of 2916 and 2923. The biggest common factor number is the GCF number.
So the greatest common factor 2916 and 2923 is 1.

Also check out the Least Common Multiple of 2916 and 2923

Properties of GCF 2916 and 2923

(i) The GCF of 2916 and 2923 is associative

GCF of 2916 and 2923 = GCF of 2923 and 2916

Related Greatest Common Factor of 2916

Related Greatest Common Factor of 2923

Frequently Asked Questions on GCF of 2916 and 2923

1. What is the GCF of 2916 and 2923?

Answer: GCF of 2916 and 2923 is 1.

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 2923?

Answer: Factors of 2923 are 1, 37, 79, 2923. There are 4 integers that are factors of 2923. The greatest factor of 2923 is 2923.

4. How to Find the GCF of 2916 and 2923?

Answer:

Greatest Common Factor of 2916 and 2923 = 1

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 2923

2923 = 37 x 79

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 2916 and 2923 is 1