Greatest Common Factor of 5875 and 5880

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 5875, 5880 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5875 and 5880 is 5.

GCF(5875,5880) = 5

GCF of 5875 and 5880

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

GCF of:
and

Greatest Common Factor of 5875 and 5880

GCF of 5875 and 5880 is 5

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

Prime Factorization of 5880


2 5880
2 2940
2 1470
3 735
5 245
7 49
7 7
1

Prime factors of 5880 are 2,3,5,7. Prime factorization of 5880 in exponential form is:

5880 = 23×31×51×72

∴ So by taking common prime factors GCF of 5875 and 5880 is 5

Greatest Common Factor of 5875 and 5880 by matching factors method

Factors of 5875

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

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

Factors of 5880

List of positive integer factors of 5880 that divides 5880 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,49,56,60,70,84,98,105,120,140,147,168,196,210,245,280,294,392,420,490,588,735,840,980,1176,1470,1960,2940,5880

Greatest Common Factor

We found the factors and prime factorization of 5875 and 5880. The biggest common factor number is the GCF number.
So the greatest common factor 5875 and 5880 is 5.

Also check out the Least Common Multiple of 5875 and 5880

Properties of GCF 5875 and 5880

(i) The GCF of 5875 and 5880 is associative

GCF of 5875 and 5880 = GCF of 5880 and 5875

Related Greatest Common Factor of 5875

Related Greatest Common Factor of 5880

Frequently Asked Questions on GCF of 5875 and 5880

1. What is the GCF of 5875 and 5880?

Answer: GCF of 5875 and 5880 is 5.

2. 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.

3. What are the Factors of 5880?

Answer: Factors of 5880 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 49, 56, 60, 70, 84, 98, 105, 120, 140, 147, 168, 196, 210, 245, 280, 294, 392, 420, 490, 588, 735, 840, 980, 1176, 1470, 1960, 2940, 5880. There are 48 integers that are factors of 5880. The greatest factor of 5880 is 5880.

4. How to Find the GCF of 5875 and 5880?

Answer:

Greatest Common Factor of 5875 and 5880 = 5

Step 1: Find the prime factorization of 5875

5875 = 5 x 5 x 5 x 47

Step 2: Find the prime factorization of 5880

5880 = 2 x 2 x 2 x 3 x 5 x 7 x 7

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 5875 and 5880 is 5