Greatest Common Factor of 5842 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 5842, 5848 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5842 and 5848 is 2.

GCF(5842,5848) = 2

GCF of 5842 and 5848

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

GCF of:
and

Greatest Common Factor of 5842 and 5848

GCF of 5842 and 5848 is 2

Prime Factorization of 5842


2 5842
23 2921
127 127
1

Prime factors of 5842 are 2,23,127. Prime factorization of 5842 in exponential form is:

5842 = 21×231×1271

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 5842 and 5848 is 2

Greatest Common Factor of 5842 and 5848 by matching factors method

Factors of 5842

List of positive integer factors of 5842 that divides 5842 without a remainder.

1,2,23,46,127,254,2921,5842

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 5842 and 5848. The biggest common factor number is the GCF number.
So the greatest common factor 5842 and 5848 is 2.

Also check out the Least Common Multiple of 5842 and 5848

Properties of GCF 5842 and 5848

(i) The GCF of 5842 and 5848 is associative

GCF of 5842 and 5848 = GCF of 5848 and 5842

Related Greatest Common Factor of 5842

Related Greatest Common Factor of 5848

Frequently Asked Questions on GCF of 5842 and 5848

1. What is the GCF of 5842 and 5848?

Answer: GCF of 5842 and 5848 is 2.

2. What are the Factors of 5842?

Answer: Factors of 5842 are 1, 2, 23, 46, 127, 254, 2921, 5842. There are 8 integers that are factors of 5842. The greatest factor of 5842 is 5842.

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 5842 and 5848?

Answer:

Greatest Common Factor of 5842 and 5848 = 2

Step 1: Find the prime factorization of 5842

5842 = 2 x 23 x 127

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

Step 4: Therefore, the greatest common factor of 5842 and 5848 is 2