Greatest Common Factor of 2918 and 2926

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 2918, 2926 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2918 and 2926 is 2.

GCF(2918,2926) = 2

GCF of 2918 and 2926

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

GCF of:
and

Greatest Common Factor of 2918 and 2926

GCF of 2918 and 2926 is 2

Prime Factorization of 2918


2 2918
1459 1459
1

Prime factors of 2918 are 2,1459. Prime factorization of 2918 in exponential form is:

2918 = 21×14591

Prime Factorization of 2926


2 2926
7 1463
11 209
19 19
1

Prime factors of 2926 are 2,7,11,19. Prime factorization of 2926 in exponential form is:

2926 = 21×71×111×191

∴ So by taking common prime factors GCF of 2918 and 2926 is 2

Greatest Common Factor of 2918 and 2926 by matching factors method

Factors of 2918

List of positive integer factors of 2918 that divides 2918 without a remainder.

1,2,1459,2918

Factors of 2926

List of positive integer factors of 2926 that divides 2926 without a remainder.

1,2,7,11,14,19,22,38,77,133,154,209,266,418,1463,2926

Greatest Common Factor

We found the factors and prime factorization of 2918 and 2926. The biggest common factor number is the GCF number.
So the greatest common factor 2918 and 2926 is 2.

Also check out the Least Common Multiple of 2918 and 2926

Properties of GCF 2918 and 2926

(i) The GCF of 2918 and 2926 is associative

GCF of 2918 and 2926 = GCF of 2926 and 2918

Related Greatest Common Factor of 2918

Related Greatest Common Factor of 2926

Frequently Asked Questions on GCF of 2918 and 2926

1. What is the GCF of 2918 and 2926?

Answer: GCF of 2918 and 2926 is 2.

2. What are the Factors of 2918?

Answer: Factors of 2918 are 1, 2, 1459, 2918. There are 4 integers that are factors of 2918. The greatest factor of 2918 is 2918.

3. What are the Factors of 2926?

Answer: Factors of 2926 are 1, 2, 7, 11, 14, 19, 22, 38, 77, 133, 154, 209, 266, 418, 1463, 2926. There are 16 integers that are factors of 2926. The greatest factor of 2926 is 2926.

4. How to Find the GCF of 2918 and 2926?

Answer:

Greatest Common Factor of 2918 and 2926 = 2

Step 1: Find the prime factorization of 2918

2918 = 2 x 1459

Step 2: Find the prime factorization of 2926

2926 = 2 x 7 x 11 x 19

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

GCF = 2

Step 4: Therefore, the greatest common factor of 2918 and 2926 is 2