Greatest Common Factor of 5874 and 5882

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 5874, 5882 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5874 and 5882 is 2.

GCF(5874,5882) = 2

GCF of 5874 and 5882

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

GCF of:
and

Greatest Common Factor of 5874 and 5882

GCF of 5874 and 5882 is 2

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

Prime Factorization of 5882


2 5882
17 2941
173 173
1

Prime factors of 5882 are 2,17,173. Prime factorization of 5882 in exponential form is:

5882 = 21×171×1731

∴ So by taking common prime factors GCF of 5874 and 5882 is 2

Greatest Common Factor of 5874 and 5882 by matching factors method

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

Factors of 5882

List of positive integer factors of 5882 that divides 5882 without a remainder.

1,2,17,34,173,346,2941,5882

Greatest Common Factor

We found the factors and prime factorization of 5874 and 5882. The biggest common factor number is the GCF number.
So the greatest common factor 5874 and 5882 is 2.

Also check out the Least Common Multiple of 5874 and 5882

Properties of GCF 5874 and 5882

(i) The GCF of 5874 and 5882 is associative

GCF of 5874 and 5882 = GCF of 5882 and 5874

Related Greatest Common Factor of 5874

Related Greatest Common Factor of 5882

Frequently Asked Questions on GCF of 5874 and 5882

1. What is the GCF of 5874 and 5882?

Answer: GCF of 5874 and 5882 is 2.

2. 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.

3. What are the Factors of 5882?

Answer: Factors of 5882 are 1, 2, 17, 34, 173, 346, 2941, 5882. There are 8 integers that are factors of 5882. The greatest factor of 5882 is 5882.

4. How to Find the GCF of 5874 and 5882?

Answer:

Greatest Common Factor of 5874 and 5882 = 2

Step 1: Find the prime factorization of 5874

5874 = 2 x 3 x 11 x 89

Step 2: Find the prime factorization of 5882

5882 = 2 x 17 x 173

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 5874 and 5882 is 2