Greatest Common Factor of 1850 and 1855

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 1850, 1855 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1850 and 1855 is 5.

GCF(1850,1855) = 5

GCF of 1850 and 1855

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

GCF of:
and

Greatest Common Factor of 1850 and 1855

GCF of 1850 and 1855 is 5

Prime Factorization of 1850


2 1850
5 925
5 185
37 37
1

Prime factors of 1850 are 2,5,37. Prime factorization of 1850 in exponential form is:

1850 = 21×52×371

Prime Factorization of 1855


5 1855
7 371
53 53
1

Prime factors of 1855 are 5,7,53. Prime factorization of 1855 in exponential form is:

1855 = 51×71×531

∴ So by taking common prime factors GCF of 1850 and 1855 is 5

Greatest Common Factor of 1850 and 1855 by matching factors method

Factors of 1850

List of positive integer factors of 1850 that divides 1850 without a remainder.

1,2,5,10,25,37,50,74,185,370,925,1850

Factors of 1855

List of positive integer factors of 1855 that divides 1855 without a remainder.

1,5,7,35,53,265,371,1855

Greatest Common Factor

We found the factors and prime factorization of 1850 and 1855. The biggest common factor number is the GCF number.
So the greatest common factor 1850 and 1855 is 5.

Also check out the Least Common Multiple of 1850 and 1855

Properties of GCF 1850 and 1855

(i) The GCF of 1850 and 1855 is associative

GCF of 1850 and 1855 = GCF of 1855 and 1850

Related Greatest Common Factor of 1850

Related Greatest Common Factor of 1855

Frequently Asked Questions on GCF of 1850 and 1855

1. What is the GCF of 1850 and 1855?

Answer: GCF of 1850 and 1855 is 5.

2. What are the Factors of 1850?

Answer: Factors of 1850 are 1, 2, 5, 10, 25, 37, 50, 74, 185, 370, 925, 1850. There are 12 integers that are factors of 1850. The greatest factor of 1850 is 1850.

3. What are the Factors of 1855?

Answer: Factors of 1855 are 1, 5, 7, 35, 53, 265, 371, 1855. There are 8 integers that are factors of 1855. The greatest factor of 1855 is 1855.

4. How to Find the GCF of 1850 and 1855?

Answer:

Greatest Common Factor of 1850 and 1855 = 5

Step 1: Find the prime factorization of 1850

1850 = 2 x 5 x 5 x 37

Step 2: Find the prime factorization of 1855

1855 = 5 x 7 x 53

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 1850 and 1855 is 5