Greatest Common Factor of 1800 and 1808

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1800, 1808 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1800 and 1808 is 8.

GCF(1800,1808) = 8

GCF of 1800 and 1808

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

GCF of:
and

Greatest Common Factor of 1800 and 1808 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 1808

 2 1808 2 904 2 452 2 226 113 113 1

Prime factors of 1808 are 2,113. Prime factorization of 1808 in exponential form is:

1808 = 24×1131

∴ So by taking common prime factors GCF of 1800 and 1808 is 8

Greatest Common Factor of 1800 and 1808 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 1808

List of positive integer factors of 1808 that divides 1808 without a remainder.

1,2,4,8,16,113,226,452,904,1808

Greatest Common Factor

We found the factors and prime factorization of 1800 and 1808. The biggest common factor number is the GCF number.
So the greatest common factor 1800 and 1808 is 8.

Also check out the Least Common Multiple of 1800 and 1808

Properties of GCF 1800 and 1808

(i) The GCF of 1800 and 1808 is associative

GCF of 1800 and 1808 = GCF of 1808 and 1800

Frequently Asked Questions on GCF of 1800 and 1808

1. What is the GCF of 1800 and 1808?

Answer: GCF of 1800 and 1808 is 8.

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 1808?

Answer: Factors of 1808 are 1, 2, 4, 8, 16, 113, 226, 452, 904, 1808. There are 10 integers that are factors of 1808. The greatest factor of 1808 is 1808.

4. How to Find the GCF of 1800 and 1808?

Greatest Common Factor of 1800 and 1808 = 8

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 1808

1808 = 2 x 2 x 2 x 2 x 113

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 1800 and 1808 is 8