Greatest Common Factor of 5841 and 5847

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 5841, 5847 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5841 and 5847 is 3.

GCF(5841,5847) = 3

GCF of 5841 and 5847

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

GCF of:
and

Greatest Common Factor of 5841 and 5847

GCF of 5841 and 5847 is 3

Prime Factorization of 5841


3 5841
3 1947
11 649
59 59
1

Prime factors of 5841 are 3,11,59. Prime factorization of 5841 in exponential form is:

5841 = 32×111×591

Prime Factorization of 5847


3 5847
1949 1949
1

Prime factors of 5847 are 3,1949. Prime factorization of 5847 in exponential form is:

5847 = 31×19491

∴ So by taking common prime factors GCF of 5841 and 5847 is 3

Greatest Common Factor of 5841 and 5847 by matching factors method

Factors of 5841

List of positive integer factors of 5841 that divides 5841 without a remainder.

1,3,9,11,33,59,99,177,531,649,1947,5841

Factors of 5847

List of positive integer factors of 5847 that divides 5847 without a remainder.

1,3,1949,5847

Greatest Common Factor

We found the factors and prime factorization of 5841 and 5847. The biggest common factor number is the GCF number.
So the greatest common factor 5841 and 5847 is 3.

Also check out the Least Common Multiple of 5841 and 5847

Properties of GCF 5841 and 5847

(i) The GCF of 5841 and 5847 is associative

GCF of 5841 and 5847 = GCF of 5847 and 5841

Related Greatest Common Factor of 5841

Related Greatest Common Factor of 5847

Frequently Asked Questions on GCF of 5841 and 5847

1. What is the GCF of 5841 and 5847?

Answer: GCF of 5841 and 5847 is 3.

2. What are the Factors of 5841?

Answer: Factors of 5841 are 1, 3, 9, 11, 33, 59, 99, 177, 531, 649, 1947, 5841. There are 12 integers that are factors of 5841. The greatest factor of 5841 is 5841.

3. What are the Factors of 5847?

Answer: Factors of 5847 are 1, 3, 1949, 5847. There are 4 integers that are factors of 5847. The greatest factor of 5847 is 5847.

4. How to Find the GCF of 5841 and 5847?

Answer:

Greatest Common Factor of 5841 and 5847 = 3

Step 1: Find the prime factorization of 5841

5841 = 3 x 3 x 11 x 59

Step 2: Find the prime factorization of 5847

5847 = 3 x 1949

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 5841 and 5847 is 3