Greatest Common Factor of 5844 and 5848

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 5844, 5848 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5844 and 5848 is 4.

GCF(5844,5848) = 4

GCF of 5844 and 5848

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

GCF of:
and

Greatest Common Factor of 5844 and 5848

GCF of 5844 and 5848 is 4

Prime Factorization of 5844


2 5844
2 2922
3 1461
487 487
1

Prime factors of 5844 are 2,3,487. Prime factorization of 5844 in exponential form is:

5844 = 22×31×4871

Prime Factorization of 5848


2 5848
2 2924
2 1462
17 731
43 43
1

Prime factors of 5848 are 2,17,43. Prime factorization of 5848 in exponential form is:

5848 = 23×171×431

∴ So by taking common prime factors GCF of 5844 and 5848 is 4

Greatest Common Factor of 5844 and 5848 by matching factors method

Factors of 5844

List of positive integer factors of 5844 that divides 5844 without a remainder.

1,2,3,4,6,12,487,974,1461,1948,2922,5844

Factors of 5848

List of positive integer factors of 5848 that divides 5848 without a remainder.

1,2,4,8,17,34,43,68,86,136,172,344,731,1462,2924,5848

Greatest Common Factor

We found the factors and prime factorization of 5844 and 5848. The biggest common factor number is the GCF number.
So the greatest common factor 5844 and 5848 is 4.

Also check out the Least Common Multiple of 5844 and 5848

Properties of GCF 5844 and 5848

(i) The GCF of 5844 and 5848 is associative

GCF of 5844 and 5848 = GCF of 5848 and 5844

Related Greatest Common Factor of 5844

Related Greatest Common Factor of 5848

Frequently Asked Questions on GCF of 5844 and 5848

1. What is the GCF of 5844 and 5848?

Answer: GCF of 5844 and 5848 is 4.

2. What are the Factors of 5844?

Answer: Factors of 5844 are 1, 2, 3, 4, 6, 12, 487, 974, 1461, 1948, 2922, 5844. There are 12 integers that are factors of 5844. The greatest factor of 5844 is 5844.

3. What are the Factors of 5848?

Answer: Factors of 5848 are 1, 2, 4, 8, 17, 34, 43, 68, 86, 136, 172, 344, 731, 1462, 2924, 5848. There are 16 integers that are factors of 5848. The greatest factor of 5848 is 5848.

4. How to Find the GCF of 5844 and 5848?

Answer:

Greatest Common Factor of 5844 and 5848 = 4

Step 1: Find the prime factorization of 5844

5844 = 2 x 2 x 3 x 487

Step 2: Find the prime factorization of 5848

5848 = 2 x 2 x 2 x 17 x 43

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5844 and 5848 is 4