Greatest Common Factor of 1845 and 1850

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 1845, 1850 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1845 and 1850 is 5.

GCF(1845,1850) = 5

GCF of 1845 and 1850

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

GCF of:
and

Greatest Common Factor of 1845 and 1850

GCF of 1845 and 1850 is 5

Prime Factorization of 1845


3 1845
3 615
5 205
41 41
1

Prime factors of 1845 are 3,5,41. Prime factorization of 1845 in exponential form is:

1845 = 32×51×411

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

∴ So by taking common prime factors GCF of 1845 and 1850 is 5

Greatest Common Factor of 1845 and 1850 by matching factors method

Factors of 1845

List of positive integer factors of 1845 that divides 1845 without a remainder.

1,3,5,9,15,41,45,123,205,369,615,1845

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

Greatest Common Factor

We found the factors and prime factorization of 1845 and 1850. The biggest common factor number is the GCF number.
So the greatest common factor 1845 and 1850 is 5.

Also check out the Least Common Multiple of 1845 and 1850

Properties of GCF 1845 and 1850

(i) The GCF of 1845 and 1850 is associative

GCF of 1845 and 1850 = GCF of 1850 and 1845

Related Greatest Common Factor of 1845

Related Greatest Common Factor of 1850

Frequently Asked Questions on GCF of 1845 and 1850

1. What is the GCF of 1845 and 1850?

Answer: GCF of 1845 and 1850 is 5.

2. What are the Factors of 1845?

Answer: Factors of 1845 are 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615, 1845. There are 12 integers that are factors of 1845. The greatest factor of 1845 is 1845.

3. 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.

4. How to Find the GCF of 1845 and 1850?

Answer:

Greatest Common Factor of 1845 and 1850 = 5

Step 1: Find the prime factorization of 1845

1845 = 3 x 3 x 5 x 41

Step 2: Find the prime factorization of 1850

1850 = 2 x 5 x 5 x 37

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 1845 and 1850 is 5