Greatest Common Factor of 1875 and 1880

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 1875, 1880 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1875 and 1880 is 5.

GCF(1875,1880) = 5

GCF of 1875 and 1880

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

GCF of:
and

Greatest Common Factor of 1875 and 1880

GCF of 1875 and 1880 is 5

Prime Factorization of 1875


3 1875
5 625
5 125
5 25
5 5
1

Prime factors of 1875 are 3,5. Prime factorization of 1875 in exponential form is:

1875 = 31×54

Prime Factorization of 1880


2 1880
2 940
2 470
5 235
47 47
1

Prime factors of 1880 are 2,5,47. Prime factorization of 1880 in exponential form is:

1880 = 23×51×471

∴ So by taking common prime factors GCF of 1875 and 1880 is 5

Greatest Common Factor of 1875 and 1880 by matching factors method

Factors of 1875

List of positive integer factors of 1875 that divides 1875 without a remainder.

1,3,5,15,25,75,125,375,625,1875

Factors of 1880

List of positive integer factors of 1880 that divides 1880 without a remainder.

1,2,4,5,8,10,20,40,47,94,188,235,376,470,940,1880

Greatest Common Factor

We found the factors and prime factorization of 1875 and 1880. The biggest common factor number is the GCF number.
So the greatest common factor 1875 and 1880 is 5.

Also check out the Least Common Multiple of 1875 and 1880

Properties of GCF 1875 and 1880

(i) The GCF of 1875 and 1880 is associative

GCF of 1875 and 1880 = GCF of 1880 and 1875

Related Greatest Common Factor of 1875

Related Greatest Common Factor of 1880

Frequently Asked Questions on GCF of 1875 and 1880

1. What is the GCF of 1875 and 1880?

Answer: GCF of 1875 and 1880 is 5.

2. What are the Factors of 1875?

Answer: Factors of 1875 are 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875. There are 10 integers that are factors of 1875. The greatest factor of 1875 is 1875.

3. What are the Factors of 1880?

Answer: Factors of 1880 are 1, 2, 4, 5, 8, 10, 20, 40, 47, 94, 188, 235, 376, 470, 940, 1880. There are 16 integers that are factors of 1880. The greatest factor of 1880 is 1880.

4. How to Find the GCF of 1875 and 1880?

Answer:

Greatest Common Factor of 1875 and 1880 = 5

Step 1: Find the prime factorization of 1875

1875 = 3 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 1880

1880 = 2 x 2 x 2 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 1875 and 1880 is 5