Greatest Common Factor of 1844 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 1844, 1850 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1844 and 1850 is 2.

GCF(1844,1850) = 2

GCF of 1844 and 1850

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

GCF of:
and

Greatest Common Factor of 1844 and 1850

GCF of 1844 and 1850 is 2

Prime Factorization of 1844


2 1844
2 922
461 461
1

Prime factors of 1844 are 2,461. Prime factorization of 1844 in exponential form is:

1844 = 22×4611

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 1844 and 1850 is 2

Greatest Common Factor of 1844 and 1850 by matching factors method

Factors of 1844

List of positive integer factors of 1844 that divides 1844 without a remainder.

1,2,4,461,922,1844

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 1844 and 1850. The biggest common factor number is the GCF number.
So the greatest common factor 1844 and 1850 is 2.

Also check out the Least Common Multiple of 1844 and 1850

Properties of GCF 1844 and 1850

(i) The GCF of 1844 and 1850 is associative

GCF of 1844 and 1850 = GCF of 1850 and 1844

Related Greatest Common Factor of 1844

Related Greatest Common Factor of 1850

Frequently Asked Questions on GCF of 1844 and 1850

1. What is the GCF of 1844 and 1850?

Answer: GCF of 1844 and 1850 is 2.

2. What are the Factors of 1844?

Answer: Factors of 1844 are 1, 2, 4, 461, 922, 1844. There are 6 integers that are factors of 1844. The greatest factor of 1844 is 1844.

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 1844 and 1850?

Answer:

Greatest Common Factor of 1844 and 1850 = 2

Step 1: Find the prime factorization of 1844

1844 = 2 x 2 x 461

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 = 2

Step 4: Therefore, the greatest common factor of 1844 and 1850 is 2