Greatest Common Factor of 1800 and 1801

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 1800, 1801 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1800 and 1801 is 1.

GCF(1800,1801) = 1

GCF of 1800 and 1801

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

GCF of:
and

Greatest Common Factor of 1800 and 1801

GCF of 1800 and 1801 is 1

Prime Factorization of 1800


2 1800
2 900
2 450
3 225
3 75
5 25
5 5
1

Prime factors of 1800 are 2,3,5. Prime factorization of 1800 in exponential form is:

1800 = 23×32×52

Prime Factorization of 1801


1801 1801
1

Prime factors of 1801 are 1801. Prime factorization of 1801 in exponential form is:

1801 = 18011

∴ So by taking common prime factors GCF of 1800 and 1801 is 1

Greatest Common Factor of 1800 and 1801 by matching factors method

Factors of 1800

List of positive integer factors of 1800 that divides 1800 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,150,180,200,225,300,360,450,600,900,1800

Factors of 1801

List of positive integer factors of 1801 that divides 1801 without a remainder.

1,1801

Greatest Common Factor

We found the factors and prime factorization of 1800 and 1801. The biggest common factor number is the GCF number.
So the greatest common factor 1800 and 1801 is 1.

Also check out the Least Common Multiple of 1800 and 1801

Properties of GCF 1800 and 1801

(i) The GCF of 1800 and 1801 is associative

GCF of 1800 and 1801 = GCF of 1801 and 1800

Related Greatest Common Factor of 1800

Related Greatest Common Factor of 1801

Frequently Asked Questions on GCF of 1800 and 1801

1. What is the GCF of 1800 and 1801?

Answer: GCF of 1800 and 1801 is 1.

2. What are the Factors of 1800?

Answer: Factors of 1800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800. There are 36 integers that are factors of 1800. The greatest factor of 1800 is 1800.

3. What are the Factors of 1801?

Answer: Factors of 1801 are 1, 1801. There are 2 integers that are factors of 1801. The greatest factor of 1801 is 1801.

4. How to Find the GCF of 1800 and 1801?

Answer:

Greatest Common Factor of 1800 and 1801 = 1

Step 1: Find the prime factorization of 1800

1800 = 2 x 2 x 2 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 1801

1801 = 1801

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 1800 and 1801 is 1