Greatest Common Factor of 5871 and 5874

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 5871, 5874 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5871 and 5874 is 3.

GCF(5871,5874) = 3

GCF of 5871 and 5874

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

GCF of:
and

Greatest Common Factor of 5871 and 5874

GCF of 5871 and 5874 is 3

Prime Factorization of 5871


3 5871
19 1957
103 103
1

Prime factors of 5871 are 3,19,103. Prime factorization of 5871 in exponential form is:

5871 = 31×191×1031

Prime Factorization of 5874


2 5874
3 2937
11 979
89 89
1

Prime factors of 5874 are 2,3,11,89. Prime factorization of 5874 in exponential form is:

5874 = 21×31×111×891

∴ So by taking common prime factors GCF of 5871 and 5874 is 3

Greatest Common Factor of 5871 and 5874 by matching factors method

Factors of 5871

List of positive integer factors of 5871 that divides 5871 without a remainder.

1,3,19,57,103,309,1957,5871

Factors of 5874

List of positive integer factors of 5874 that divides 5874 without a remainder.

1,2,3,6,11,22,33,66,89,178,267,534,979,1958,2937,5874

Greatest Common Factor

We found the factors and prime factorization of 5871 and 5874. The biggest common factor number is the GCF number.
So the greatest common factor 5871 and 5874 is 3.

Also check out the Least Common Multiple of 5871 and 5874

Properties of GCF 5871 and 5874

(i) The GCF of 5871 and 5874 is associative

GCF of 5871 and 5874 = GCF of 5874 and 5871

Related Greatest Common Factor of 5871

Related Greatest Common Factor of 5874

Frequently Asked Questions on GCF of 5871 and 5874

1. What is the GCF of 5871 and 5874?

Answer: GCF of 5871 and 5874 is 3.

2. What are the Factors of 5871?

Answer: Factors of 5871 are 1, 3, 19, 57, 103, 309, 1957, 5871. There are 8 integers that are factors of 5871. The greatest factor of 5871 is 5871.

3. What are the Factors of 5874?

Answer: Factors of 5874 are 1, 2, 3, 6, 11, 22, 33, 66, 89, 178, 267, 534, 979, 1958, 2937, 5874. There are 16 integers that are factors of 5874. The greatest factor of 5874 is 5874.

4. How to Find the GCF of 5871 and 5874?

Answer:

Greatest Common Factor of 5871 and 5874 = 3

Step 1: Find the prime factorization of 5871

5871 = 3 x 19 x 103

Step 2: Find the prime factorization of 5874

5874 = 2 x 3 x 11 x 89

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 5871 and 5874 is 3