Greatest Common Factor of 1850 and 1857

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, 1857 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1850 and 1857 is 1.

GCF(1850,1857) = 1

GCF of 1850 and 1857

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

GCF of:
and

Greatest Common Factor of 1850 and 1857

GCF of 1850 and 1857 is 1

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 1857


3 1857
619 619
1

Prime factors of 1857 are 3,619. Prime factorization of 1857 in exponential form is:

1857 = 31×6191

∴ So by taking common prime factors GCF of 1850 and 1857 is 1

Greatest Common Factor of 1850 and 1857 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 1857

List of positive integer factors of 1857 that divides 1857 without a remainder.

1,3,619,1857

Greatest Common Factor

We found the factors and prime factorization of 1850 and 1857. The biggest common factor number is the GCF number.
So the greatest common factor 1850 and 1857 is 1.

Also check out the Least Common Multiple of 1850 and 1857

Properties of GCF 1850 and 1857

(i) The GCF of 1850 and 1857 is associative

GCF of 1850 and 1857 = GCF of 1857 and 1850

Related Greatest Common Factor of 1850

Related Greatest Common Factor of 1857

Frequently Asked Questions on GCF of 1850 and 1857

1. What is the GCF of 1850 and 1857?

Answer: GCF of 1850 and 1857 is 1.

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 1857?

Answer: Factors of 1857 are 1, 3, 619, 1857. There are 4 integers that are factors of 1857. The greatest factor of 1857 is 1857.

4. How to Find the GCF of 1850 and 1857?

Answer:

Greatest Common Factor of 1850 and 1857 = 1

Step 1: Find the prime factorization of 1850

1850 = 2 x 5 x 5 x 37

Step 2: Find the prime factorization of 1857

1857 = 3 x 619

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1850 and 1857 is 1