Greatest Common Factor of 5918 and 5924

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, 5924 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5918 and 5924 is 2.

GCF(5918,5924) = 2

GCF of 5918 and 5924

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

GCF of:
and

Greatest Common Factor of 5918 and 5924

GCF of 5918 and 5924 is 2

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 5924


2 5924
2 2962
1481 1481
1

Prime factors of 5924 are 2,1481. Prime factorization of 5924 in exponential form is:

5924 = 22×14811

∴ So by taking common prime factors GCF of 5918 and 5924 is 2

Greatest Common Factor of 5918 and 5924 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 5924

List of positive integer factors of 5924 that divides 5924 without a remainder.

1,2,4,1481,2962,5924

Greatest Common Factor

We found the factors and prime factorization of 5918 and 5924. The biggest common factor number is the GCF number.
So the greatest common factor 5918 and 5924 is 2.

Also check out the Least Common Multiple of 5918 and 5924

Properties of GCF 5918 and 5924

(i) The GCF of 5918 and 5924 is associative

GCF of 5918 and 5924 = GCF of 5924 and 5918

Related Greatest Common Factor of 5918

Related Greatest Common Factor of 5924

Frequently Asked Questions on GCF of 5918 and 5924

1. What is the GCF of 5918 and 5924?

Answer: GCF of 5918 and 5924 is 2.

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 5924?

Answer: Factors of 5924 are 1, 2, 4, 1481, 2962, 5924. There are 6 integers that are factors of 5924. The greatest factor of 5924 is 5924.

4. How to Find the GCF of 5918 and 5924?

Answer:

Greatest Common Factor of 5918 and 5924 = 2

Step 1: Find the prime factorization of 5918

5918 = 2 x 11 x 269

Step 2: Find the prime factorization of 5924

5924 = 2 x 2 x 1481

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 5918 and 5924 is 2