Greatest Common Factor of 1845 and 1851

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, 1851 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1845 and 1851 is 3.

GCF(1845,1851) = 3

GCF of 1845 and 1851

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

GCF of:
and

Greatest Common Factor of 1845 and 1851

GCF of 1845 and 1851 is 3

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 1851


3 1851
617 617
1

Prime factors of 1851 are 3,617. Prime factorization of 1851 in exponential form is:

1851 = 31×6171

∴ So by taking common prime factors GCF of 1845 and 1851 is 3

Greatest Common Factor of 1845 and 1851 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 1851

List of positive integer factors of 1851 that divides 1851 without a remainder.

1,3,617,1851

Greatest Common Factor

We found the factors and prime factorization of 1845 and 1851. The biggest common factor number is the GCF number.
So the greatest common factor 1845 and 1851 is 3.

Also check out the Least Common Multiple of 1845 and 1851

Properties of GCF 1845 and 1851

(i) The GCF of 1845 and 1851 is associative

GCF of 1845 and 1851 = GCF of 1851 and 1845

Related Greatest Common Factor of 1845

Related Greatest Common Factor of 1851

Frequently Asked Questions on GCF of 1845 and 1851

1. What is the GCF of 1845 and 1851?

Answer: GCF of 1845 and 1851 is 3.

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 1851?

Answer: Factors of 1851 are 1, 3, 617, 1851. There are 4 integers that are factors of 1851. The greatest factor of 1851 is 1851.

4. How to Find the GCF of 1845 and 1851?

Answer:

Greatest Common Factor of 1845 and 1851 = 3

Step 1: Find the prime factorization of 1845

1845 = 3 x 3 x 5 x 41

Step 2: Find the prime factorization of 1851

1851 = 3 x 617

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 1845 and 1851 is 3