Greatest Common Factor of 5870 and 5875

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 5870, 5875 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5870 and 5875 is 5.

GCF(5870,5875) = 5

GCF of 5870 and 5875

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

GCF of:
and

Greatest Common Factor of 5870 and 5875

GCF of 5870 and 5875 is 5

Prime Factorization of 5870


2 5870
5 2935
587 587
1

Prime factors of 5870 are 2,5,587. Prime factorization of 5870 in exponential form is:

5870 = 21×51×5871

Prime Factorization of 5875


5 5875
5 1175
5 235
47 47
1

Prime factors of 5875 are 5,47. Prime factorization of 5875 in exponential form is:

5875 = 53×471

∴ So by taking common prime factors GCF of 5870 and 5875 is 5

Greatest Common Factor of 5870 and 5875 by matching factors method

Factors of 5870

List of positive integer factors of 5870 that divides 5870 without a remainder.

1,2,5,10,587,1174,2935,5870

Factors of 5875

List of positive integer factors of 5875 that divides 5875 without a remainder.

1,5,25,47,125,235,1175,5875

Greatest Common Factor

We found the factors and prime factorization of 5870 and 5875. The biggest common factor number is the GCF number.
So the greatest common factor 5870 and 5875 is 5.

Also check out the Least Common Multiple of 5870 and 5875

Properties of GCF 5870 and 5875

(i) The GCF of 5870 and 5875 is associative

GCF of 5870 and 5875 = GCF of 5875 and 5870

Related Greatest Common Factor of 5870

Related Greatest Common Factor of 5875

Frequently Asked Questions on GCF of 5870 and 5875

1. What is the GCF of 5870 and 5875?

Answer: GCF of 5870 and 5875 is 5.

2. What are the Factors of 5870?

Answer: Factors of 5870 are 1, 2, 5, 10, 587, 1174, 2935, 5870. There are 8 integers that are factors of 5870. The greatest factor of 5870 is 5870.

3. What are the Factors of 5875?

Answer: Factors of 5875 are 1, 5, 25, 47, 125, 235, 1175, 5875. There are 8 integers that are factors of 5875. The greatest factor of 5875 is 5875.

4. How to Find the GCF of 5870 and 5875?

Answer:

Greatest Common Factor of 5870 and 5875 = 5

Step 1: Find the prime factorization of 5870

5870 = 2 x 5 x 587

Step 2: Find the prime factorization of 5875

5875 = 5 x 5 x 5 x 47

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

GCF = 5

Step 4: Therefore, the greatest common factor of 5870 and 5875 is 5