Greatest Common Factor of 5882 and 5890

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 5882, 5890 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5882 and 5890 is 2.

GCF(5882,5890) = 2

GCF of 5882 and 5890

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

GCF of:
and

Greatest Common Factor of 5882 and 5890

GCF of 5882 and 5890 is 2

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

Prime Factorization of 5890


2 5890
5 2945
19 589
31 31
1

Prime factors of 5890 are 2,5,19,31. Prime factorization of 5890 in exponential form is:

5890 = 21×51×191×311

∴ So by taking common prime factors GCF of 5882 and 5890 is 2

Greatest Common Factor of 5882 and 5890 by matching factors method

Factors of 5882

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

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

Factors of 5890

List of positive integer factors of 5890 that divides 5890 without a remainder.

1,2,5,10,19,31,38,62,95,155,190,310,589,1178,2945,5890

Greatest Common Factor

We found the factors and prime factorization of 5882 and 5890. The biggest common factor number is the GCF number.
So the greatest common factor 5882 and 5890 is 2.

Also check out the Least Common Multiple of 5882 and 5890

Properties of GCF 5882 and 5890

(i) The GCF of 5882 and 5890 is associative

GCF of 5882 and 5890 = GCF of 5890 and 5882

Related Greatest Common Factor of 5882

Related Greatest Common Factor of 5890

Frequently Asked Questions on GCF of 5882 and 5890

1. What is the GCF of 5882 and 5890?

Answer: GCF of 5882 and 5890 is 2.

2. 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.

3. What are the Factors of 5890?

Answer: Factors of 5890 are 1, 2, 5, 10, 19, 31, 38, 62, 95, 155, 190, 310, 589, 1178, 2945, 5890. There are 16 integers that are factors of 5890. The greatest factor of 5890 is 5890.

4. How to Find the GCF of 5882 and 5890?

Answer:

Greatest Common Factor of 5882 and 5890 = 2

Step 1: Find the prime factorization of 5882

5882 = 2 x 17 x 173

Step 2: Find the prime factorization of 5890

5890 = 2 x 5 x 19 x 31

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 5882 and 5890 is 2