Greatest Common Factor of 5853 and 5859

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 5853, 5859 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5853 and 5859 is 3.

GCF(5853,5859) = 3

GCF of 5853 and 5859

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

GCF of:
and

Greatest Common Factor of 5853 and 5859

GCF of 5853 and 5859 is 3

Prime Factorization of 5853


3 5853
1951 1951
1

Prime factors of 5853 are 3,1951. Prime factorization of 5853 in exponential form is:

5853 = 31×19511

Prime Factorization of 5859


3 5859
3 1953
3 651
7 217
31 31
1

Prime factors of 5859 are 3,7,31. Prime factorization of 5859 in exponential form is:

5859 = 33×71×311

∴ So by taking common prime factors GCF of 5853 and 5859 is 3

Greatest Common Factor of 5853 and 5859 by matching factors method

Factors of 5853

List of positive integer factors of 5853 that divides 5853 without a remainder.

1,3,1951,5853

Factors of 5859

List of positive integer factors of 5859 that divides 5859 without a remainder.

1,3,7,9,21,27,31,63,93,189,217,279,651,837,1953,5859

Greatest Common Factor

We found the factors and prime factorization of 5853 and 5859. The biggest common factor number is the GCF number.
So the greatest common factor 5853 and 5859 is 3.

Also check out the Least Common Multiple of 5853 and 5859

Properties of GCF 5853 and 5859

(i) The GCF of 5853 and 5859 is associative

GCF of 5853 and 5859 = GCF of 5859 and 5853

Related Greatest Common Factor of 5853

Related Greatest Common Factor of 5859

Frequently Asked Questions on GCF of 5853 and 5859

1. What is the GCF of 5853 and 5859?

Answer: GCF of 5853 and 5859 is 3.

2. What are the Factors of 5853?

Answer: Factors of 5853 are 1, 3, 1951, 5853. There are 4 integers that are factors of 5853. The greatest factor of 5853 is 5853.

3. What are the Factors of 5859?

Answer: Factors of 5859 are 1, 3, 7, 9, 21, 27, 31, 63, 93, 189, 217, 279, 651, 837, 1953, 5859. There are 16 integers that are factors of 5859. The greatest factor of 5859 is 5859.

4. How to Find the GCF of 5853 and 5859?

Answer:

Greatest Common Factor of 5853 and 5859 = 3

Step 1: Find the prime factorization of 5853

5853 = 3 x 1951

Step 2: Find the prime factorization of 5859

5859 = 3 x 3 x 3 x 7 x 31

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5853 and 5859 is 3