Greatest Common Factor of 5842 and 5846

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, 5846 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5842 and 5846 is 2.

GCF(5842,5846) = 2

GCF of 5842 and 5846

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

GCF of:
and

Greatest Common Factor of 5842 and 5846

GCF of 5842 and 5846 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 5846


2 5846
37 2923
79 79
1

Prime factors of 5846 are 2,37,79. Prime factorization of 5846 in exponential form is:

5846 = 21×371×791

∴ So by taking common prime factors GCF of 5842 and 5846 is 2

Greatest Common Factor of 5842 and 5846 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 5846

List of positive integer factors of 5846 that divides 5846 without a remainder.

1,2,37,74,79,158,2923,5846

Greatest Common Factor

We found the factors and prime factorization of 5842 and 5846. The biggest common factor number is the GCF number.
So the greatest common factor 5842 and 5846 is 2.

Also check out the Least Common Multiple of 5842 and 5846

Properties of GCF 5842 and 5846

(i) The GCF of 5842 and 5846 is associative

GCF of 5842 and 5846 = GCF of 5846 and 5842

Related Greatest Common Factor of 5842

Related Greatest Common Factor of 5846

Frequently Asked Questions on GCF of 5842 and 5846

1. What is the GCF of 5842 and 5846?

Answer: GCF of 5842 and 5846 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 5846?

Answer: Factors of 5846 are 1, 2, 37, 74, 79, 158, 2923, 5846. There are 8 integers that are factors of 5846. The greatest factor of 5846 is 5846.

4. How to Find the GCF of 5842 and 5846?

Answer:

Greatest Common Factor of 5842 and 5846 = 2

Step 1: Find the prime factorization of 5842

5842 = 2 x 23 x 127

Step 2: Find the prime factorization of 5846

5846 = 2 x 37 x 79

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 5846 is 2