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Greatest Common Factor of 1800 and 1803

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1800, 1803 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1800 and 1803 is 3.

GCF(1800,1803) = 3

GCF of 1800 and 1803

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

GCF of:
and

Greatest Common Factor of 1800 and 1803 by Prime factorization method

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 1803


3 1803
601 601
1

Prime factors of 1803 are 3,601. Prime factorization of 1803 in exponential form is:

1803 = 31×6011

∴ So by taking common prime factors GCF of 1800 and 1803 is 3

Greatest Common Factor of 1800 and 1803 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 1803

List of positive integer factors of 1803 that divides 1803 without a remainder.

1,3,601,1803

Greatest Common Factor

We found the factors and prime factorization of 1800 and 1803. The biggest common factor number is the GCF number.
So the greatest common factor 1800 and 1803 is 3.

Also check out the Least Common Multiple of 1800 and 1803

Properties of GCF 1800 and 1803

(i) The GCF of 1800 and 1803 is associative

GCF of 1800 and 1803 = GCF of 1803 and 1800

Frequently Asked Questions on GCF of 1800 and 1803

1. What is the GCF of 1800 and 1803?

Answer: GCF of 1800 and 1803 is 3.

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 1803?

Answer: Factors of 1803 are 1, 3, 601, 1803. There are 4 integers that are factors of 1803. The greatest factor of 1803 is 1803.

4. How to Find the GCF of 1800 and 1803?

Answer:

Greatest Common Factor of 1800 and 1803 = 3

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 1803

1803 = 3 x 601

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 1800 and 1803 is 3