Greatest Common Factor of 5835 and 5842

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 5835, 5842 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5835 and 5842 is 1.

GCF(5835,5842) = 1

GCF of 5835 and 5842

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

GCF of:
and

Greatest Common Factor of 5835 and 5842

GCF of 5835 and 5842 is 1

Prime Factorization of 5835


3 5835
5 1945
389 389
1

Prime factors of 5835 are 3,5,389. Prime factorization of 5835 in exponential form is:

5835 = 31×51×3891

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

∴ So by taking common prime factors GCF of 5835 and 5842 is 1

Greatest Common Factor of 5835 and 5842 by matching factors method

Factors of 5835

List of positive integer factors of 5835 that divides 5835 without a remainder.

1,3,5,15,389,1167,1945,5835

Factors of 5842

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

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

Greatest Common Factor

We found the factors and prime factorization of 5835 and 5842. The biggest common factor number is the GCF number.
So the greatest common factor 5835 and 5842 is 1.

Also check out the Least Common Multiple of 5835 and 5842

Properties of GCF 5835 and 5842

(i) The GCF of 5835 and 5842 is associative

GCF of 5835 and 5842 = GCF of 5842 and 5835

Related Greatest Common Factor of 5835

Related Greatest Common Factor of 5842

Frequently Asked Questions on GCF of 5835 and 5842

1. What is the GCF of 5835 and 5842?

Answer: GCF of 5835 and 5842 is 1.

2. What are the Factors of 5835?

Answer: Factors of 5835 are 1, 3, 5, 15, 389, 1167, 1945, 5835. There are 8 integers that are factors of 5835. The greatest factor of 5835 is 5835.

3. 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.

4. How to Find the GCF of 5835 and 5842?

Answer:

Greatest Common Factor of 5835 and 5842 = 1

Step 1: Find the prime factorization of 5835

5835 = 3 x 5 x 389

Step 2: Find the prime factorization of 5842

5842 = 2 x 23 x 127

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 5835 and 5842 is 1