Greatest Common Factor of 1842 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 1842, 1850 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1842 and 1850 is 2.

GCF(1842,1850) = 2

GCF of 1842 and 1850

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

GCF of:
and

Greatest Common Factor of 1842 and 1850

GCF of 1842 and 1850 is 2

Prime Factorization of 1842


2 1842
3 921
307 307
1

Prime factors of 1842 are 2,3,307. Prime factorization of 1842 in exponential form is:

1842 = 21×31×3071

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 1842 and 1850 is 2

Greatest Common Factor of 1842 and 1850 by matching factors method

Factors of 1842

List of positive integer factors of 1842 that divides 1842 without a remainder.

1,2,3,6,307,614,921,1842

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 1842 and 1850. The biggest common factor number is the GCF number.
So the greatest common factor 1842 and 1850 is 2.

Also check out the Least Common Multiple of 1842 and 1850

Properties of GCF 1842 and 1850

(i) The GCF of 1842 and 1850 is associative

GCF of 1842 and 1850 = GCF of 1850 and 1842

Related Greatest Common Factor of 1842

Related Greatest Common Factor of 1850

Frequently Asked Questions on GCF of 1842 and 1850

1. What is the GCF of 1842 and 1850?

Answer: GCF of 1842 and 1850 is 2.

2. What are the Factors of 1842?

Answer: Factors of 1842 are 1, 2, 3, 6, 307, 614, 921, 1842. There are 8 integers that are factors of 1842. The greatest factor of 1842 is 1842.

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 1842 and 1850?

Answer:

Greatest Common Factor of 1842 and 1850 = 2

Step 1: Find the prime factorization of 1842

1842 = 2 x 3 x 307

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 1842 and 1850 is 2