Greatest Common Factor of 5918 and 5923

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 5918, 5923 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5918 and 5923 is 1.

GCF(5918,5923) = 1

GCF of 5918 and 5923

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

GCF of:
and

Greatest Common Factor of 5918 and 5923

GCF of 5918 and 5923 is 1

Prime Factorization of 5918


2 5918
11 2959
269 269
1

Prime factors of 5918 are 2,11,269. Prime factorization of 5918 in exponential form is:

5918 = 21×111×2691

Prime Factorization of 5923


5923 5923
1

Prime factors of 5923 are 5923. Prime factorization of 5923 in exponential form is:

5923 = 59231

∴ So by taking common prime factors GCF of 5918 and 5923 is 1

Greatest Common Factor of 5918 and 5923 by matching factors method

Factors of 5918

List of positive integer factors of 5918 that divides 5918 without a remainder.

1,2,11,22,269,538,2959,5918

Factors of 5923

List of positive integer factors of 5923 that divides 5923 without a remainder.

1,5923

Greatest Common Factor

We found the factors and prime factorization of 5918 and 5923. The biggest common factor number is the GCF number.
So the greatest common factor 5918 and 5923 is 1.

Also check out the Least Common Multiple of 5918 and 5923

Properties of GCF 5918 and 5923

(i) The GCF of 5918 and 5923 is associative

GCF of 5918 and 5923 = GCF of 5923 and 5918

Related Greatest Common Factor of 5918

Related Greatest Common Factor of 5923

Frequently Asked Questions on GCF of 5918 and 5923

1. What is the GCF of 5918 and 5923?

Answer: GCF of 5918 and 5923 is 1.

2. What are the Factors of 5918?

Answer: Factors of 5918 are 1, 2, 11, 22, 269, 538, 2959, 5918. There are 8 integers that are factors of 5918. The greatest factor of 5918 is 5918.

3. What are the Factors of 5923?

Answer: Factors of 5923 are 1, 5923. There are 2 integers that are factors of 5923. The greatest factor of 5923 is 5923.

4. How to Find the GCF of 5918 and 5923?

Answer:

Greatest Common Factor of 5918 and 5923 = 1

Step 1: Find the prime factorization of 5918

5918 = 2 x 11 x 269

Step 2: Find the prime factorization of 5923

5923 = 5923

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 5918 and 5923 is 1