Greatest Common Factor of 1880 and 1885

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 1880, 1885 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1880 and 1885 is 5.

GCF(1880,1885) = 5

GCF of 1880 and 1885

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

GCF of:
and

Greatest Common Factor of 1880 and 1885

GCF of 1880 and 1885 is 5

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

Prime Factorization of 1885


5 1885
13 377
29 29
1

Prime factors of 1885 are 5,13,29. Prime factorization of 1885 in exponential form is:

1885 = 51×131×291

∴ So by taking common prime factors GCF of 1880 and 1885 is 5

Greatest Common Factor of 1880 and 1885 by matching factors method

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

Factors of 1885

List of positive integer factors of 1885 that divides 1885 without a remainder.

1,5,13,29,65,145,377,1885

Greatest Common Factor

We found the factors and prime factorization of 1880 and 1885. The biggest common factor number is the GCF number.
So the greatest common factor 1880 and 1885 is 5.

Also check out the Least Common Multiple of 1880 and 1885

Properties of GCF 1880 and 1885

(i) The GCF of 1880 and 1885 is associative

GCF of 1880 and 1885 = GCF of 1885 and 1880

Related Greatest Common Factor of 1880

Related Greatest Common Factor of 1885

Frequently Asked Questions on GCF of 1880 and 1885

1. What is the GCF of 1880 and 1885?

Answer: GCF of 1880 and 1885 is 5.

2. 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.

3. What are the Factors of 1885?

Answer: Factors of 1885 are 1, 5, 13, 29, 65, 145, 377, 1885. There are 8 integers that are factors of 1885. The greatest factor of 1885 is 1885.

4. How to Find the GCF of 1880 and 1885?

Answer:

Greatest Common Factor of 1880 and 1885 = 5

Step 1: Find the prime factorization of 1880

1880 = 2 x 2 x 2 x 5 x 47

Step 2: Find the prime factorization of 1885

1885 = 5 x 13 x 29

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 1880 and 1885 is 5