Greatest Common Factor of 2913 and 2919

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 2913, 2919 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2913 and 2919 is 3.

GCF(2913,2919) = 3

GCF of 2913 and 2919

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

GCF of:
and

Greatest Common Factor of 2913 and 2919

GCF of 2913 and 2919 is 3

Prime Factorization of 2913


3 2913
971 971
1

Prime factors of 2913 are 3,971. Prime factorization of 2913 in exponential form is:

2913 = 31×9711

Prime Factorization of 2919


3 2919
7 973
139 139
1

Prime factors of 2919 are 3,7,139. Prime factorization of 2919 in exponential form is:

2919 = 31×71×1391

∴ So by taking common prime factors GCF of 2913 and 2919 is 3

Greatest Common Factor of 2913 and 2919 by matching factors method

Factors of 2913

List of positive integer factors of 2913 that divides 2913 without a remainder.

1,3,971,2913

Factors of 2919

List of positive integer factors of 2919 that divides 2919 without a remainder.

1,3,7,21,139,417,973,2919

Greatest Common Factor

We found the factors and prime factorization of 2913 and 2919. The biggest common factor number is the GCF number.
So the greatest common factor 2913 and 2919 is 3.

Also check out the Least Common Multiple of 2913 and 2919

Properties of GCF 2913 and 2919

(i) The GCF of 2913 and 2919 is associative

GCF of 2913 and 2919 = GCF of 2919 and 2913

Related Greatest Common Factor of 2913

Related Greatest Common Factor of 2919

Frequently Asked Questions on GCF of 2913 and 2919

1. What is the GCF of 2913 and 2919?

Answer: GCF of 2913 and 2919 is 3.

2. What are the Factors of 2913?

Answer: Factors of 2913 are 1, 3, 971, 2913. There are 4 integers that are factors of 2913. The greatest factor of 2913 is 2913.

3. What are the Factors of 2919?

Answer: Factors of 2919 are 1, 3, 7, 21, 139, 417, 973, 2919. There are 8 integers that are factors of 2919. The greatest factor of 2919 is 2919.

4. How to Find the GCF of 2913 and 2919?

Answer:

Greatest Common Factor of 2913 and 2919 = 3

Step 1: Find the prime factorization of 2913

2913 = 3 x 971

Step 2: Find the prime factorization of 2919

2919 = 3 x 7 x 139

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 2913 and 2919 is 3